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Simplifying -1(x + 9) + 3 = 2(x + -6) + 3x Reorder the terms: -1(9 + x) + 3 = 2(x + -6) + 3x (9 * -1 + x * -1) + 3 = 2(x + -6) + 3x (-9 + -1x) + 3 = 2(x + -6) + 3x Reorder the terms: -9 + 3 + -1x = 2(x + -6) + 3x Combine like terms: -9 + 3 = -6 -6 + -1x = 2(x + -6) + 3x Reorder the terms: -6 + -1x = 2(-6 + x) + 3x -6 + -1x = (-6 * 2 + x * 2) + 3x -6 + -1x = (-12 + 2x) + 3x Combine like terms: 2x + 3x = 5x -6 + -1x = -12 + 5x Solving -6 + -1x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + -1x + -5x = -12 + 5x + -5x Combine like terms: -1x + -5x = -6x -6 + -6x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -6x = -12 + 0 -6 + -6x = -12 Add '6' to each side of the equation. -6 + 6 + -6x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -12 + 6 -6x = -12 + 6 Combine like terms: -12 + 6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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