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Simplifying 11(x + 10) + -2(5x + -5) = 9x + 7x Reorder the terms: 11(10 + x) + -2(5x + -5) = 9x + 7x (10 * 11 + x * 11) + -2(5x + -5) = 9x + 7x (110 + 11x) + -2(5x + -5) = 9x + 7x Reorder the terms: 110 + 11x + -2(-5 + 5x) = 9x + 7x 110 + 11x + (-5 * -2 + 5x * -2) = 9x + 7x 110 + 11x + (10 + -10x) = 9x + 7x Reorder the terms: 110 + 10 + 11x + -10x = 9x + 7x Combine like terms: 110 + 10 = 120 120 + 11x + -10x = 9x + 7x Combine like terms: 11x + -10x = 1x 120 + 1x = 9x + 7x Combine like terms: 9x + 7x = 16x 120 + 1x = 16x Solving 120 + 1x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 120 + 1x + -16x = 16x + -16x Combine like terms: 1x + -16x = -15x 120 + -15x = 16x + -16x Combine like terms: 16x + -16x = 0 120 + -15x = 0 Add '-120' to each side of the equation. 120 + -120 + -15x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -15x = 0 + -120 -15x = 0 + -120 Combine like terms: 0 + -120 = -120 -15x = -120 Divide each side by '-15'. x = 8 Simplifying x = 8
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