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Simplifying 120 + -1(7x + 10) = 7(x + 5) + x Reorder the terms: 120 + -1(10 + 7x) = 7(x + 5) + x 120 + (10 * -1 + 7x * -1) = 7(x + 5) + x 120 + (-10 + -7x) = 7(x + 5) + x Combine like terms: 120 + -10 = 110 110 + -7x = 7(x + 5) + x Reorder the terms: 110 + -7x = 7(5 + x) + x 110 + -7x = (5 * 7 + x * 7) + x 110 + -7x = (35 + 7x) + x Combine like terms: 7x + x = 8x 110 + -7x = 35 + 8x Solving 110 + -7x = 35 + 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. 110 + -7x + -8x = 35 + 8x + -8x Combine like terms: -7x + -8x = -15x 110 + -15x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 110 + -15x = 35 + 0 110 + -15x = 35 Add '-110' to each side of the equation. 110 + -110 + -15x = 35 + -110 Combine like terms: 110 + -110 = 0 0 + -15x = 35 + -110 -15x = 35 + -110 Combine like terms: 35 + -110 = -75 -15x = -75 Divide each side by '-15'. x = 5 Simplifying x = 5
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