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