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Simplifying 3(x + -4) + -2 = 2(x + -6) + -1x Reorder the terms: 3(-4 + x) + -2 = 2(x + -6) + -1x (-4 * 3 + x * 3) + -2 = 2(x + -6) + -1x (-12 + 3x) + -2 = 2(x + -6) + -1x Reorder the terms: -12 + -2 + 3x = 2(x + -6) + -1x Combine like terms: -12 + -2 = -14 -14 + 3x = 2(x + -6) + -1x Reorder the terms: -14 + 3x = 2(-6 + x) + -1x -14 + 3x = (-6 * 2 + x * 2) + -1x -14 + 3x = (-12 + 2x) + -1x Combine like terms: 2x + -1x = 1x -14 + 3x = -12 + 1x Solving -14 + 3x = -12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 3x + -1x = -12 + 1x + -1x Combine like terms: 3x + -1x = 2x -14 + 2x = -12 + 1x + -1x Combine like terms: 1x + -1x = 0 -14 + 2x = -12 + 0 -14 + 2x = -12 Add '14' to each side of the equation. -14 + 14 + 2x = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -12 + 14 2x = -12 + 14 Combine like terms: -12 + 14 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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