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Simplifying 132 + -1(5x + 10) = 5(x + 9) + x Reorder the terms: 132 + -1(10 + 5x) = 5(x + 9) + x 132 + (10 * -1 + 5x * -1) = 5(x + 9) + x 132 + (-10 + -5x) = 5(x + 9) + x Combine like terms: 132 + -10 = 122 122 + -5x = 5(x + 9) + x Reorder the terms: 122 + -5x = 5(9 + x) + x 122 + -5x = (9 * 5 + x * 5) + x 122 + -5x = (45 + 5x) + x Combine like terms: 5x + x = 6x 122 + -5x = 45 + 6x Solving 122 + -5x = 45 + 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. 122 + -5x + -6x = 45 + 6x + -6x Combine like terms: -5x + -6x = -11x 122 + -11x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 122 + -11x = 45 + 0 122 + -11x = 45 Add '-122' to each side of the equation. 122 + -122 + -11x = 45 + -122 Combine like terms: 122 + -122 = 0 0 + -11x = 45 + -122 -11x = 45 + -122 Combine like terms: 45 + -122 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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