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Simplifying -3x + 12 = -3(2x + 1) Reorder the terms: 12 + -3x = -3(2x + 1) Reorder the terms: 12 + -3x = -3(1 + 2x) 12 + -3x = (1 * -3 + 2x * -3) 12 + -3x = (-3 + -6x) Solving 12 + -3x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + -3x + 6x = -3 + -6x + 6x Combine like terms: -3x + 6x = 3x 12 + 3x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 3x = -3 + 0 12 + 3x = -3 Add '-12' to each side of the equation. 12 + -12 + 3x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -3 + -12 3x = -3 + -12 Combine like terms: -3 + -12 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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