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Simplifying 5(3 + -2x) = 5x + -5 (3 * 5 + -2x * 5) = 5x + -5 (15 + -10x) = 5x + -5 Reorder the terms: 15 + -10x = -5 + 5x Solving 15 + -10x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + -10x + -5x = -5 + 5x + -5x Combine like terms: -10x + -5x = -15x 15 + -15x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -15x = -5 + 0 15 + -15x = -5 Add '-15' to each side of the equation. 15 + -15 + -15x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = -5 + -15 -15x = -5 + -15 Combine like terms: -5 + -15 = -20 -15x = -20 Divide each side by '-15'. x = 1.333333333 Simplifying x = 1.333333333
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