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Simplifying 1000 + -1(x + -20) = (10)(x + -20) Reorder the terms: 1000 + -1(-20 + x) = (10)(x + -20) 1000 + (-20 * -1 + x * -1) = (10)(x + -20) 1000 + (20 + -1x) = (10)(x + -20) Combine like terms: 1000 + 20 = 1020 1020 + -1x = (10)(x + -20) Reorder the terms: 1020 + -1x = 10(-20 + x) 1020 + -1x = (-20 * 10 + x * 10) 1020 + -1x = (-200 + 10x) Solving 1020 + -1x = -200 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1020 + -1x + -10x = -200 + 10x + -10x Combine like terms: -1x + -10x = -11x 1020 + -11x = -200 + 10x + -10x Combine like terms: 10x + -10x = 0 1020 + -11x = -200 + 0 1020 + -11x = -200 Add '-1020' to each side of the equation. 1020 + -1020 + -11x = -200 + -1020 Combine like terms: 1020 + -1020 = 0 0 + -11x = -200 + -1020 -11x = -200 + -1020 Combine like terms: -200 + -1020 = -1220 -11x = -1220 Divide each side by '-11'. x = 110.9090909 Simplifying x = 110.9090909
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