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Simplifying 4(x + 3) + -2(x + -2) = -8 Reorder the terms: 4(3 + x) + -2(x + -2) = -8 (3 * 4 + x * 4) + -2(x + -2) = -8 (12 + 4x) + -2(x + -2) = -8 Reorder the terms: 12 + 4x + -2(-2 + x) = -8 12 + 4x + (-2 * -2 + x * -2) = -8 12 + 4x + (4 + -2x) = -8 Reorder the terms: 12 + 4 + 4x + -2x = -8 Combine like terms: 12 + 4 = 16 16 + 4x + -2x = -8 Combine like terms: 4x + -2x = 2x 16 + 2x = -8 Solving 16 + 2x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = -8 + -16 2x = -8 + -16 Combine like terms: -8 + -16 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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