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Simplifying 3(5 + -4x) = 8x + -45 (5 * 3 + -4x * 3) = 8x + -45 (15 + -12x) = 8x + -45 Reorder the terms: 15 + -12x = -45 + 8x Solving 15 + -12x = -45 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + -12x + -8x = -45 + 8x + -8x Combine like terms: -12x + -8x = -20x 15 + -20x = -45 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -20x = -45 + 0 15 + -20x = -45 Add '-15' to each side of the equation. 15 + -15 + -20x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -20x = -45 + -15 -20x = -45 + -15 Combine like terms: -45 + -15 = -60 -20x = -60 Divide each side by '-20'. x = 3 Simplifying x = 3
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