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Simplifying 4(x + 3) + -2x = -2(2 + x) Reorder the terms: 4(3 + x) + -2x = -2(2 + x) (3 * 4 + x * 4) + -2x = -2(2 + x) (12 + 4x) + -2x = -2(2 + x) Combine like terms: 4x + -2x = 2x 12 + 2x = -2(2 + x) 12 + 2x = (2 * -2 + x * -2) 12 + 2x = (-4 + -2x) Solving 12 + 2x = -4 + -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 + 2x + 2x = -4 + -2x + 2x Combine like terms: 2x + 2x = 4x 12 + 4x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 4x = -4 + 0 12 + 4x = -4 Add '-12' to each side of the equation. 12 + -12 + 4x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -4 + -12 4x = -4 + -12 Combine like terms: -4 + -12 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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