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Simplifying 2(5x + 2) = -5(3x + -2) + 2x Reorder the terms: 2(2 + 5x) = -5(3x + -2) + 2x (2 * 2 + 5x * 2) = -5(3x + -2) + 2x (4 + 10x) = -5(3x + -2) + 2x Reorder the terms: 4 + 10x = -5(-2 + 3x) + 2x 4 + 10x = (-2 * -5 + 3x * -5) + 2x 4 + 10x = (10 + -15x) + 2x Combine like terms: -15x + 2x = -13x 4 + 10x = 10 + -13x Solving 4 + 10x = 10 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 4 + 10x + 13x = 10 + -13x + 13x Combine like terms: 10x + 13x = 23x 4 + 23x = 10 + -13x + 13x Combine like terms: -13x + 13x = 0 4 + 23x = 10 + 0 4 + 23x = 10 Add '-4' to each side of the equation. 4 + -4 + 23x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 23x = 10 + -4 23x = 10 + -4 Combine like terms: 10 + -4 = 6 23x = 6 Divide each side by '23'. x = 0.2608695652 Simplifying x = 0.2608695652
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