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Simplifying 3(x + -4) + -2 = 3(2x + 5) + -1x Reorder the terms: 3(-4 + x) + -2 = 3(2x + 5) + -1x (-4 * 3 + x * 3) + -2 = 3(2x + 5) + -1x (-12 + 3x) + -2 = 3(2x + 5) + -1x Reorder the terms: -12 + -2 + 3x = 3(2x + 5) + -1x Combine like terms: -12 + -2 = -14 -14 + 3x = 3(2x + 5) + -1x Reorder the terms: -14 + 3x = 3(5 + 2x) + -1x -14 + 3x = (5 * 3 + 2x * 3) + -1x -14 + 3x = (15 + 6x) + -1x Combine like terms: 6x + -1x = 5x -14 + 3x = 15 + 5x Solving -14 + 3x = 15 + 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. -14 + 3x + -5x = 15 + 5x + -5x Combine like terms: 3x + -5x = -2x -14 + -2x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -2x = 15 + 0 -14 + -2x = 15 Add '14' to each side of the equation. -14 + 14 + -2x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 15 + 14 -2x = 15 + 14 Combine like terms: 15 + 14 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5
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