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Simplifying 5(3 + -4x) = x + -2(3x + -5) (3 * 5 + -4x * 5) = x + -2(3x + -5) (15 + -20x) = x + -2(3x + -5) Reorder the terms: 15 + -20x = x + -2(-5 + 3x) 15 + -20x = x + (-5 * -2 + 3x * -2) 15 + -20x = x + (10 + -6x) Reorder the terms: 15 + -20x = 10 + x + -6x Combine like terms: x + -6x = -5x 15 + -20x = 10 + -5x Solving 15 + -20x = 10 + -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 + -20x + 5x = 10 + -5x + 5x Combine like terms: -20x + 5x = -15x 15 + -15x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + -15x = 10 + 0 15 + -15x = 10 Add '-15' to each side of the equation. 15 + -15 + -15x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = 10 + -15 -15x = 10 + -15 Combine like terms: 10 + -15 = -5 -15x = -5 Divide each side by '-15'. x = 0.3333333333 Simplifying x = 0.3333333333
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