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