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Simplifying 3(x + -2) + -4 = 2(x + -9) Reorder the terms: 3(-2 + x) + -4 = 2(x + -9) (-2 * 3 + x * 3) + -4 = 2(x + -9) (-6 + 3x) + -4 = 2(x + -9) Reorder the terms: -6 + -4 + 3x = 2(x + -9) Combine like terms: -6 + -4 = -10 -10 + 3x = 2(x + -9) Reorder the terms: -10 + 3x = 2(-9 + x) -10 + 3x = (-9 * 2 + x * 2) -10 + 3x = (-18 + 2x) Solving -10 + 3x = -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. -10 + 3x + -2x = -18 + 2x + -2x Combine like terms: 3x + -2x = 1x -10 + 1x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 1x = -18 + 0 -10 + 1x = -18 Add '10' to each side of the equation. -10 + 10 + 1x = -18 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -18 + 10 1x = -18 + 10 Combine like terms: -18 + 10 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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