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Simplifying -12 + 54 = -3(x + 1) Combine like terms: -12 + 54 = 42 42 = -3(x + 1) Reorder the terms: 42 = -3(1 + x) 42 = (1 * -3 + x * -3) 42 = (-3 + -3x) Solving 42 = -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. 42 + 3x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + 3x = -3 + 0 42 + 3x = -3 Add '-42' to each side of the equation. 42 + -42 + 3x = -3 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = -3 + -42 3x = -3 + -42 Combine like terms: -3 + -42 = -45 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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