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Simplifying -12x + 4 = -2(x + 3) Reorder the terms: 4 + -12x = -2(x + 3) Reorder the terms: 4 + -12x = -2(3 + x) 4 + -12x = (3 * -2 + x * -2) 4 + -12x = (-6 + -2x) Solving 4 + -12x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + -12x + 2x = -6 + -2x + 2x Combine like terms: -12x + 2x = -10x 4 + -10x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -10x = -6 + 0 4 + -10x = -6 Add '-4' to each side of the equation. 4 + -4 + -10x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = -6 + -4 -10x = -6 + -4 Combine like terms: -6 + -4 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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