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Simplifying -2(x + -5) = 7(x + 1) Reorder the terms: -2(-5 + x) = 7(x + 1) (-5 * -2 + x * -2) = 7(x + 1) (10 + -2x) = 7(x + 1) Reorder the terms: 10 + -2x = 7(1 + x) 10 + -2x = (1 * 7 + x * 7) 10 + -2x = (7 + 7x) Solving 10 + -2x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + -2x + -7x = 7 + 7x + -7x Combine like terms: -2x + -7x = -9x 10 + -9x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -9x = 7 + 0 10 + -9x = 7 Add '-10' to each side of the equation. 10 + -10 + -9x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 7 + -10 -9x = 7 + -10 Combine like terms: 7 + -10 = -3 -9x = -3 Divide each side by '-9'. x = 0.3333333333 Simplifying x = 0.3333333333
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