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Simplifying 7(x + 2) = -2(x + -5) Reorder the terms: 7(2 + x) = -2(x + -5) (2 * 7 + x * 7) = -2(x + -5) (14 + 7x) = -2(x + -5) Reorder the terms: 14 + 7x = -2(-5 + x) 14 + 7x = (-5 * -2 + x * -2) 14 + 7x = (10 + -2x) Solving 14 + 7x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + 7x + 2x = 10 + -2x + 2x Combine like terms: 7x + 2x = 9x 14 + 9x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 9x = 10 + 0 14 + 9x = 10 Add '-14' to each side of the equation. 14 + -14 + 9x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 10 + -14 9x = 10 + -14 Combine like terms: 10 + -14 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444
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