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Simplifying 15(x + -1) = -3(5 + -1x) + 12 Reorder the terms: 15(-1 + x) = -3(5 + -1x) + 12 (-1 * 15 + x * 15) = -3(5 + -1x) + 12 (-15 + 15x) = -3(5 + -1x) + 12 -15 + 15x = (5 * -3 + -1x * -3) + 12 -15 + 15x = (-15 + 3x) + 12 Reorder the terms: -15 + 15x = -15 + 12 + 3x Combine like terms: -15 + 12 = -3 -15 + 15x = -3 + 3x Solving -15 + 15x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 15x + -3x = -3 + 3x + -3x Combine like terms: 15x + -3x = 12x -15 + 12x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -15 + 12x = -3 + 0 -15 + 12x = -3 Add '15' to each side of the equation. -15 + 15 + 12x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = -3 + 15 12x = -3 + 15 Combine like terms: -3 + 15 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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