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Simplifying 3(x + -2) + -4x = 2(x + -9) Reorder the terms: 3(-2 + x) + -4x = 2(x + -9) (-2 * 3 + x * 3) + -4x = 2(x + -9) (-6 + 3x) + -4x = 2(x + -9) Combine like terms: 3x + -4x = -1x -6 + -1x = 2(x + -9) Reorder the terms: -6 + -1x = 2(-9 + x) -6 + -1x = (-9 * 2 + x * 2) -6 + -1x = (-18 + 2x) Solving -6 + -1x = -18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -1x + -2x = -18 + 2x + -2x Combine like terms: -1x + -2x = -3x -6 + -3x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -3x = -18 + 0 -6 + -3x = -18 Add '6' to each side of the equation. -6 + 6 + -3x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -18 + 6 -3x = -18 + 6 Combine like terms: -18 + 6 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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