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Simplifying 5(2x + -1) = 15(x + 5) Reorder the terms: 5(-1 + 2x) = 15(x + 5) (-1 * 5 + 2x * 5) = 15(x + 5) (-5 + 10x) = 15(x + 5) Reorder the terms: -5 + 10x = 15(5 + x) -5 + 10x = (5 * 15 + x * 15) -5 + 10x = (75 + 15x) Solving -5 + 10x = 75 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + 10x + -15x = 75 + 15x + -15x Combine like terms: 10x + -15x = -5x -5 + -5x = 75 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -5x = 75 + 0 -5 + -5x = 75 Add '5' to each side of the equation. -5 + 5 + -5x = 75 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 75 + 5 -5x = 75 + 5 Combine like terms: 75 + 5 = 80 -5x = 80 Divide each side by '-5'. x = -16 Simplifying x = -16
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