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Simplifying -4 = 3(3x + -5) + -2(5x + -1) + 9 Reorder the terms: -4 = 3(-5 + 3x) + -2(5x + -1) + 9 -4 = (-5 * 3 + 3x * 3) + -2(5x + -1) + 9 -4 = (-15 + 9x) + -2(5x + -1) + 9 Reorder the terms: -4 = -15 + 9x + -2(-1 + 5x) + 9 -4 = -15 + 9x + (-1 * -2 + 5x * -2) + 9 -4 = -15 + 9x + (2 + -10x) + 9 Reorder the terms: -4 = -15 + 2 + 9 + 9x + -10x Combine like terms: -15 + 2 = -13 -4 = -13 + 9 + 9x + -10x Combine like terms: -13 + 9 = -4 -4 = -4 + 9x + -10x Combine like terms: 9x + -10x = -1x -4 = -4 + -1x Add '4' to each side of the equation. -4 + 4 = -4 + 4 + -1x Combine like terms: -4 + 4 = 0 0 = -4 + 4 + -1x Combine like terms: -4 + 4 = 0 0 = 0 + -1x 0 = -1x Solving 0 = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0 + x = -1x + x Remove the zero: x = -1x + x Combine like terms: -1x + x = 0 x = 0 Simplifying x = 0
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