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Simplifying 45 + -1(5x + 8) = 5(x + 3) + x Reorder the terms: 45 + -1(8 + 5x) = 5(x + 3) + x 45 + (8 * -1 + 5x * -1) = 5(x + 3) + x 45 + (-8 + -5x) = 5(x + 3) + x Combine like terms: 45 + -8 = 37 37 + -5x = 5(x + 3) + x Reorder the terms: 37 + -5x = 5(3 + x) + x 37 + -5x = (3 * 5 + x * 5) + x 37 + -5x = (15 + 5x) + x Combine like terms: 5x + x = 6x 37 + -5x = 15 + 6x Solving 37 + -5x = 15 + 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. 37 + -5x + -6x = 15 + 6x + -6x Combine like terms: -5x + -6x = -11x 37 + -11x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 37 + -11x = 15 + 0 37 + -11x = 15 Add '-37' to each side of the equation. 37 + -37 + -11x = 15 + -37 Combine like terms: 37 + -37 = 0 0 + -11x = 15 + -37 -11x = 15 + -37 Combine like terms: 15 + -37 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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