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Simplifying 3(x + -1) + -12 = 5x + 15 Reorder the terms: 3(-1 + x) + -12 = 5x + 15 (-1 * 3 + x * 3) + -12 = 5x + 15 (-3 + 3x) + -12 = 5x + 15 Reorder the terms: -3 + -12 + 3x = 5x + 15 Combine like terms: -3 + -12 = -15 -15 + 3x = 5x + 15 Reorder the terms: -15 + 3x = 15 + 5x Solving -15 + 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. -15 + 3x + -5x = 15 + 5x + -5x Combine like terms: 3x + -5x = -2x -15 + -2x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -2x = 15 + 0 -15 + -2x = 15 Add '15' to each side of the equation. -15 + 15 + -2x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 15 + 15 -2x = 15 + 15 Combine like terms: 15 + 15 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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