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Simplifying 2(x + 5) + -13x = 3(x + 2) + 2x Reorder the terms: 2(5 + x) + -13x = 3(x + 2) + 2x (5 * 2 + x * 2) + -13x = 3(x + 2) + 2x (10 + 2x) + -13x = 3(x + 2) + 2x Combine like terms: 2x + -13x = -11x 10 + -11x = 3(x + 2) + 2x Reorder the terms: 10 + -11x = 3(2 + x) + 2x 10 + -11x = (2 * 3 + x * 3) + 2x 10 + -11x = (6 + 3x) + 2x Combine like terms: 3x + 2x = 5x 10 + -11x = 6 + 5x Solving 10 + -11x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -11x + -5x = 6 + 5x + -5x Combine like terms: -11x + -5x = -16x 10 + -16x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -16x = 6 + 0 10 + -16x = 6 Add '-10' to each side of the equation. 10 + -10 + -16x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -16x = 6 + -10 -16x = 6 + -10 Combine like terms: 6 + -10 = -4 -16x = -4 Divide each side by '-16'. x = 0.25 Simplifying x = 0.25
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