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Simplifying 5(3x + -1) = 2(5x + 1) Reorder the terms: 5(-1 + 3x) = 2(5x + 1) (-1 * 5 + 3x * 5) = 2(5x + 1) (-5 + 15x) = 2(5x + 1) Reorder the terms: -5 + 15x = 2(1 + 5x) -5 + 15x = (1 * 2 + 5x * 2) -5 + 15x = (2 + 10x) Solving -5 + 15x = 2 + 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. -5 + 15x + -10x = 2 + 10x + -10x Combine like terms: 15x + -10x = 5x -5 + 5x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + 5x = 2 + 0 -5 + 5x = 2 Add '5' to each side of the equation. -5 + 5 + 5x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 2 + 5 5x = 2 + 5 Combine like terms: 2 + 5 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4
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