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Simplifying -3(x + -5) = 2.5(8 + -4x) Reorder the terms: -3(-5 + x) = 2.5(8 + -4x) (-5 * -3 + x * -3) = 2.5(8 + -4x) (15 + -3x) = 2.5(8 + -4x) 15 + -3x = (8 * 2.5 + -4x * 2.5) 15 + -3x = (20 + -10x) Solving 15 + -3x = 20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 15 + -3x + 10x = 20 + -10x + 10x Combine like terms: -3x + 10x = 7x 15 + 7x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 15 + 7x = 20 + 0 15 + 7x = 20 Add '-15' to each side of the equation. 15 + -15 + 7x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 20 + -15 7x = 20 + -15 Combine like terms: 20 + -15 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143
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