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Simplifying 7 + -1(x + -5) = 10(x + 20) Reorder the terms: 7 + -1(-5 + x) = 10(x + 20) 7 + (-5 * -1 + x * -1) = 10(x + 20) 7 + (5 + -1x) = 10(x + 20) Combine like terms: 7 + 5 = 12 12 + -1x = 10(x + 20) Reorder the terms: 12 + -1x = 10(20 + x) 12 + -1x = (20 * 10 + x * 10) 12 + -1x = (200 + 10x) Solving 12 + -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. 12 + -1x + -10x = 200 + 10x + -10x Combine like terms: -1x + -10x = -11x 12 + -11x = 200 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -11x = 200 + 0 12 + -11x = 200 Add '-12' to each side of the equation. 12 + -12 + -11x = 200 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 200 + -12 -11x = 200 + -12 Combine like terms: 200 + -12 = 188 -11x = 188 Divide each side by '-11'. x = -17.09090909 Simplifying x = -17.09090909
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