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Simplifying 2x + 4 = -1(2x + 12) Reorder the terms: 4 + 2x = -1(2x + 12) Reorder the terms: 4 + 2x = -1(12 + 2x) 4 + 2x = (12 * -1 + 2x * -1) 4 + 2x = (-12 + -2x) Solving 4 + 2x = -12 + -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 + 2x + 2x = -12 + -2x + 2x Combine like terms: 2x + 2x = 4x 4 + 4x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 4x = -12 + 0 4 + 4x = -12 Add '-4' to each side of the equation. 4 + -4 + 4x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -12 + -4 4x = -12 + -4 Combine like terms: -12 + -4 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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