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Simplifying 10p(x + 3) + -1(-9x + -4) = x + -5 + 3 Reorder the terms: 10p(3 + x) + -1(-9x + -4) = x + -5 + 3 (3 * 10p + x * 10p) + -1(-9x + -4) = x + -5 + 3 (30p + 10px) + -1(-9x + -4) = x + -5 + 3 Reorder the terms: 30p + 10px + -1(-4 + -9x) = x + -5 + 3 30p + 10px + (-4 * -1 + -9x * -1) = x + -5 + 3 30p + 10px + (4 + 9x) = x + -5 + 3 Reorder the terms: 4 + 30p + 10px + 9x = x + -5 + 3 Reorder the terms: 4 + 30p + 10px + 9x = -5 + 3 + x Combine like terms: -5 + 3 = -2 4 + 30p + 10px + 9x = -2 + x Solving 4 + 30p + 10px + 9x = -2 + x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 30p + 10px + -4 + 9x = -2 + -4 + x Reorder the terms: 4 + -4 + 30p + 10px + 9x = -2 + -4 + x Combine like terms: 4 + -4 = 0 0 + 30p + 10px + 9x = -2 + -4 + x 30p + 10px + 9x = -2 + -4 + x Combine like terms: -2 + -4 = -6 30p + 10px + 9x = -6 + x Add '-9x' to each side of the equation. 30p + 10px + 9x + -9x = -6 + x + -9x Combine like terms: 9x + -9x = 0 30p + 10px + 0 = -6 + x + -9x 30p + 10px = -6 + x + -9x Combine like terms: x + -9x = -8x 30p + 10px = -6 + -8x Reorder the terms: 6 + 30p + 10px + 8x = -6 + -8x + 6 + 8x Reorder the terms: 6 + 30p + 10px + 8x = -6 + 6 + -8x + 8x Combine like terms: -6 + 6 = 0 6 + 30p + 10px + 8x = 0 + -8x + 8x 6 + 30p + 10px + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 6 + 30p + 10px + 8x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 15p + 5px + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 15p + 5px + 4x)' equal to zero and attempt to solve: Simplifying 3 + 15p + 5px + 4x = 0 Solving 3 + 15p + 5px + 4x = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 15p + 5px + -3 + 4x = 0 + -3 Reorder the terms: 3 + -3 + 15p + 5px + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 15p + 5px + 4x = 0 + -3 15p + 5px + 4x = 0 + -3 Combine like terms: 0 + -3 = -3 15p + 5px + 4x = -3 Add '-4x' to each side of the equation. 15p + 5px + 4x + -4x = -3 + -4x Combine like terms: 4x + -4x = 0 15p + 5px + 0 = -3 + -4x 15p + 5px = -3 + -4x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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