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Simplifying 3x + -12 = 2(x + 1) + -15 Reorder the terms: -12 + 3x = 2(x + 1) + -15 Reorder the terms: -12 + 3x = 2(1 + x) + -15 -12 + 3x = (1 * 2 + x * 2) + -15 -12 + 3x = (2 + 2x) + -15 Reorder the terms: -12 + 3x = 2 + -15 + 2x Combine like terms: 2 + -15 = -13 -12 + 3x = -13 + 2x Solving -12 + 3x = -13 + 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. -12 + 3x + -2x = -13 + 2x + -2x Combine like terms: 3x + -2x = 1x -12 + 1x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 1x = -13 + 0 -12 + 1x = -13 Add '12' to each side of the equation. -12 + 12 + 1x = -13 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -13 + 12 1x = -13 + 12 Combine like terms: -13 + 12 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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