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Simplifying 2(x + 4) = -3(2x + -4) Reorder the terms: 2(4 + x) = -3(2x + -4) (4 * 2 + x * 2) = -3(2x + -4) (8 + 2x) = -3(2x + -4) Reorder the terms: 8 + 2x = -3(-4 + 2x) 8 + 2x = (-4 * -3 + 2x * -3) 8 + 2x = (12 + -6x) Solving 8 + 2x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 2x + 6x = 12 + -6x + 6x Combine like terms: 2x + 6x = 8x 8 + 8x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 8x = 12 + 0 8 + 8x = 12 Add '-8' to each side of the equation. 8 + -8 + 8x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 12 + -8 8x = 12 + -8 Combine like terms: 12 + -8 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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