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Simplifying 12 + -3(5x + -1) = x + -1 Reorder the terms: 12 + -3(-1 + 5x) = x + -1 12 + (-1 * -3 + 5x * -3) = x + -1 12 + (3 + -15x) = x + -1 Combine like terms: 12 + 3 = 15 15 + -15x = x + -1 Reorder the terms: 15 + -15x = -1 + x Solving 15 + -15x = -1 + x 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. 15 + -15x + -1x = -1 + x + -1x Combine like terms: -15x + -1x = -16x 15 + -16x = -1 + x + -1x Combine like terms: x + -1x = 0 15 + -16x = -1 + 0 15 + -16x = -1 Add '-15' to each side of the equation. 15 + -15 + -16x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -16x = -1 + -15 -16x = -1 + -15 Combine like terms: -1 + -15 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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