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Simplifying 5(x + 1) = 5x + -2 + 3(2x + 5) Reorder the terms: 5(1 + x) = 5x + -2 + 3(2x + 5) (1 * 5 + x * 5) = 5x + -2 + 3(2x + 5) (5 + 5x) = 5x + -2 + 3(2x + 5) Reorder the terms: 5 + 5x = 5x + -2 + 3(5 + 2x) 5 + 5x = 5x + -2 + (5 * 3 + 2x * 3) 5 + 5x = 5x + -2 + (15 + 6x) Reorder the terms: 5 + 5x = -2 + 15 + 5x + 6x Combine like terms: -2 + 15 = 13 5 + 5x = 13 + 5x + 6x Combine like terms: 5x + 6x = 11x 5 + 5x = 13 + 11x Solving 5 + 5x = 13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 5 + 5x + -11x = 13 + 11x + -11x Combine like terms: 5x + -11x = -6x 5 + -6x = 13 + 11x + -11x Combine like terms: 11x + -11x = 0 5 + -6x = 13 + 0 5 + -6x = 13 Add '-5' to each side of the equation. 5 + -5 + -6x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 13 + -5 -6x = 13 + -5 Combine like terms: 13 + -5 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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