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Simplifying 5(2x + -1) + 3x = 2(x + 5) Reorder the terms: 5(-1 + 2x) + 3x = 2(x + 5) (-1 * 5 + 2x * 5) + 3x = 2(x + 5) (-5 + 10x) + 3x = 2(x + 5) Combine like terms: 10x + 3x = 13x -5 + 13x = 2(x + 5) Reorder the terms: -5 + 13x = 2(5 + x) -5 + 13x = (5 * 2 + x * 2) -5 + 13x = (10 + 2x) Solving -5 + 13x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 13x + -2x = 10 + 2x + -2x Combine like terms: 13x + -2x = 11x -5 + 11x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 11x = 10 + 0 -5 + 11x = 10 Add '5' to each side of the equation. -5 + 5 + 11x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 10 + 5 11x = 10 + 5 Combine like terms: 10 + 5 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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