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Simplifying 4(3 + -5x) = 8(4 + -2x) (3 * 4 + -5x * 4) = 8(4 + -2x) (12 + -20x) = 8(4 + -2x) 12 + -20x = (4 * 8 + -2x * 8) 12 + -20x = (32 + -16x) Solving 12 + -20x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 12 + -20x + 16x = 32 + -16x + 16x Combine like terms: -20x + 16x = -4x 12 + -4x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 12 + -4x = 32 + 0 12 + -4x = 32 Add '-12' to each side of the equation. 12 + -12 + -4x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 32 + -12 -4x = 32 + -12 Combine like terms: 32 + -12 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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