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Simplifying -6x + 12 = -2(4x + 1) Reorder the terms: 12 + -6x = -2(4x + 1) Reorder the terms: 12 + -6x = -2(1 + 4x) 12 + -6x = (1 * -2 + 4x * -2) 12 + -6x = (-2 + -8x) Solving 12 + -6x = -2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + -6x + 8x = -2 + -8x + 8x Combine like terms: -6x + 8x = 2x 12 + 2x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 2x = -2 + 0 12 + 2x = -2 Add '-12' to each side of the equation. 12 + -12 + 2x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -2 + -12 2x = -2 + -12 Combine like terms: -2 + -12 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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