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Simplifying 3(x + 5) = 2(2x + -13) + 2x Reorder the terms: 3(5 + x) = 2(2x + -13) + 2x (5 * 3 + x * 3) = 2(2x + -13) + 2x (15 + 3x) = 2(2x + -13) + 2x Reorder the terms: 15 + 3x = 2(-13 + 2x) + 2x 15 + 3x = (-13 * 2 + 2x * 2) + 2x 15 + 3x = (-26 + 4x) + 2x Combine like terms: 4x + 2x = 6x 15 + 3x = -26 + 6x Solving 15 + 3x = -26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 3x + -6x = -26 + 6x + -6x Combine like terms: 3x + -6x = -3x 15 + -3x = -26 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -3x = -26 + 0 15 + -3x = -26 Add '-15' to each side of the equation. 15 + -15 + -3x = -26 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = -26 + -15 -3x = -26 + -15 Combine like terms: -26 + -15 = -41 -3x = -41 Divide each side by '-3'. x = 13.66666667 Simplifying x = 13.66666667
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