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Simplifying X + 4x + 3 + -1x(x + -5) = 3(2x + -1) Reorder the terms: X + 4x + 3 + -1x(-5 + x) = 3(2x + -1) X + 4x + 3 + (-5 * -1x + x * -1x) = 3(2x + -1) X + 4x + 3 + (5x + -1x2) = 3(2x + -1) Reorder the terms: 3 + X + 4x + 5x + -1x2 = 3(2x + -1) Combine like terms: 4x + 5x = 9x 3 + X + 9x + -1x2 = 3(2x + -1) Reorder the terms: 3 + X + 9x + -1x2 = 3(-1 + 2x) 3 + X + 9x + -1x2 = (-1 * 3 + 2x * 3) 3 + X + 9x + -1x2 = (-3 + 6x) Solving 3 + X + 9x + -1x2 = -3 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + X + 9x + -3 + -1x2 = -3 + -3 + 6x Reorder the terms: 3 + -3 + X + 9x + -1x2 = -3 + -3 + 6x Combine like terms: 3 + -3 = 0 0 + X + 9x + -1x2 = -3 + -3 + 6x X + 9x + -1x2 = -3 + -3 + 6x Combine like terms: -3 + -3 = -6 X + 9x + -1x2 = -6 + 6x Add '-9x' to each side of the equation. X + 9x + -9x + -1x2 = -6 + 6x + -9x Combine like terms: 9x + -9x = 0 X + 0 + -1x2 = -6 + 6x + -9x X + -1x2 = -6 + 6x + -9x Combine like terms: 6x + -9x = -3x X + -1x2 = -6 + -3x Add 'x2' to each side of the equation. X + -1x2 + x2 = -6 + -3x + x2 Combine like terms: -1x2 + x2 = 0 X + 0 = -6 + -3x + x2 X = -6 + -3x + x2 Simplifying X = -6 + -3x + x2
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