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Simplifying 5(2x + -1) = 3(5x + 1) Reorder the terms: 5(-1 + 2x) = 3(5x + 1) (-1 * 5 + 2x * 5) = 3(5x + 1) (-5 + 10x) = 3(5x + 1) Reorder the terms: -5 + 10x = 3(1 + 5x) -5 + 10x = (1 * 3 + 5x * 3) -5 + 10x = (3 + 15x) Solving -5 + 10x = 3 + 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 = 3 + 15x + -15x Combine like terms: 10x + -15x = -5x -5 + -5x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -5x = 3 + 0 -5 + -5x = 3 Add '5' to each side of the equation. -5 + 5 + -5x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 3 + 5 -5x = 3 + 5 Combine like terms: 3 + 5 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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