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Simplifying 9x + -1(2x + -5) = 8 + 4(x + -3) Reorder the terms: 9x + -1(-5 + 2x) = 8 + 4(x + -3) 9x + (-5 * -1 + 2x * -1) = 8 + 4(x + -3) 9x + (5 + -2x) = 8 + 4(x + -3) Reorder the terms: 5 + 9x + -2x = 8 + 4(x + -3) Combine like terms: 9x + -2x = 7x 5 + 7x = 8 + 4(x + -3) Reorder the terms: 5 + 7x = 8 + 4(-3 + x) 5 + 7x = 8 + (-3 * 4 + x * 4) 5 + 7x = 8 + (-12 + 4x) Combine like terms: 8 + -12 = -4 5 + 7x = -4 + 4x Solving 5 + 7x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 7x + -4x = -4 + 4x + -4x Combine like terms: 7x + -4x = 3x 5 + 3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 3x = -4 + 0 5 + 3x = -4 Add '-5' to each side of the equation. 5 + -5 + 3x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -4 + -5 3x = -4 + -5 Combine like terms: -4 + -5 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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