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Simplifying 4x + 12 = -2(x + 3) Reorder the terms: 12 + 4x = -2(x + 3) Reorder the terms: 12 + 4x = -2(3 + x) 12 + 4x = (3 * -2 + x * -2) 12 + 4x = (-6 + -2x) Solving 12 + 4x = -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. 12 + 4x + 2x = -6 + -2x + 2x Combine like terms: 4x + 2x = 6x 12 + 6x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 6x = -6 + 0 12 + 6x = -6 Add '-12' to each side of the equation. 12 + -12 + 6x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = -6 + -12 6x = -6 + -12 Combine like terms: -6 + -12 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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