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Simplifying 4(2 + -3x) = -2x + -2 (2 * 4 + -3x * 4) = -2x + -2 (8 + -12x) = -2x + -2 Reorder the terms: 8 + -12x = -2 + -2x Solving 8 + -12x = -2 + -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. 8 + -12x + 2x = -2 + -2x + 2x Combine like terms: -12x + 2x = -10x 8 + -10x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -10x = -2 + 0 8 + -10x = -2 Add '-8' to each side of the equation. 8 + -8 + -10x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -2 + -8 -10x = -2 + -8 Combine like terms: -2 + -8 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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