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Simplifying 118 + -1(7x + 10) = 7(x + 9) + x Reorder the terms: 118 + -1(10 + 7x) = 7(x + 9) + x 118 + (10 * -1 + 7x * -1) = 7(x + 9) + x 118 + (-10 + -7x) = 7(x + 9) + x Combine like terms: 118 + -10 = 108 108 + -7x = 7(x + 9) + x Reorder the terms: 108 + -7x = 7(9 + x) + x 108 + -7x = (9 * 7 + x * 7) + x 108 + -7x = (63 + 7x) + x Combine like terms: 7x + x = 8x 108 + -7x = 63 + 8x Solving 108 + -7x = 63 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 108 + -7x + -8x = 63 + 8x + -8x Combine like terms: -7x + -8x = -15x 108 + -15x = 63 + 8x + -8x Combine like terms: 8x + -8x = 0 108 + -15x = 63 + 0 108 + -15x = 63 Add '-108' to each side of the equation. 108 + -108 + -15x = 63 + -108 Combine like terms: 108 + -108 = 0 0 + -15x = 63 + -108 -15x = 63 + -108 Combine like terms: 63 + -108 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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