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Simplifying -2(x + -3) + -36x = -9(4x + -8) + -3x Reorder the terms: -2(-3 + x) + -36x = -9(4x + -8) + -3x (-3 * -2 + x * -2) + -36x = -9(4x + -8) + -3x (6 + -2x) + -36x = -9(4x + -8) + -3x Combine like terms: -2x + -36x = -38x 6 + -38x = -9(4x + -8) + -3x Reorder the terms: 6 + -38x = -9(-8 + 4x) + -3x 6 + -38x = (-8 * -9 + 4x * -9) + -3x 6 + -38x = (72 + -36x) + -3x Combine like terms: -36x + -3x = -39x 6 + -38x = 72 + -39x Solving 6 + -38x = 72 + -39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39x' to each side of the equation. 6 + -38x + 39x = 72 + -39x + 39x Combine like terms: -38x + 39x = 1x 6 + 1x = 72 + -39x + 39x Combine like terms: -39x + 39x = 0 6 + 1x = 72 + 0 6 + 1x = 72 Add '-6' to each side of the equation. 6 + -6 + 1x = 72 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 72 + -6 1x = 72 + -6 Combine like terms: 72 + -6 = 66 1x = 66 Divide each side by '1'. x = 66 Simplifying x = 66
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