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Simplifying -5(2x + -1) = 3(x + 5) Reorder the terms: -5(-1 + 2x) = 3(x + 5) (-1 * -5 + 2x * -5) = 3(x + 5) (5 + -10x) = 3(x + 5) Reorder the terms: 5 + -10x = 3(5 + x) 5 + -10x = (5 * 3 + x * 3) 5 + -10x = (15 + 3x) Solving 5 + -10x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + -10x + -3x = 15 + 3x + -3x Combine like terms: -10x + -3x = -13x 5 + -13x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -13x = 15 + 0 5 + -13x = 15 Add '-5' to each side of the equation. 5 + -5 + -13x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = 15 + -5 -13x = 15 + -5 Combine like terms: 15 + -5 = 10 -13x = 10 Divide each side by '-13'. x = -0.7692307692 Simplifying x = -0.7692307692
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