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Simplifying 120 + -1(5x + 3) = 5(x + 8) + x Reorder the terms: 120 + -1(3 + 5x) = 5(x + 8) + x 120 + (3 * -1 + 5x * -1) = 5(x + 8) + x 120 + (-3 + -5x) = 5(x + 8) + x Combine like terms: 120 + -3 = 117 117 + -5x = 5(x + 8) + x Reorder the terms: 117 + -5x = 5(8 + x) + x 117 + -5x = (8 * 5 + x * 5) + x 117 + -5x = (40 + 5x) + x Combine like terms: 5x + x = 6x 117 + -5x = 40 + 6x Solving 117 + -5x = 40 + 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. 117 + -5x + -6x = 40 + 6x + -6x Combine like terms: -5x + -6x = -11x 117 + -11x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 117 + -11x = 40 + 0 117 + -11x = 40 Add '-117' to each side of the equation. 117 + -117 + -11x = 40 + -117 Combine like terms: 117 + -117 = 0 0 + -11x = 40 + -117 -11x = 40 + -117 Combine like terms: 40 + -117 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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