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Simplifying x + -1(x + -2) = 7(x + 2) Reorder the terms: x + -1(-2 + x) = 7(x + 2) x + (-2 * -1 + x * -1) = 7(x + 2) x + (2 + -1x) = 7(x + 2) Reorder the terms: 2 + x + -1x = 7(x + 2) Combine like terms: x + -1x = 0 2 + 0 = 7(x + 2) 2 = 7(x + 2) Reorder the terms: 2 = 7(2 + x) 2 = (2 * 7 + x * 7) 2 = (14 + 7x) Solving 2 = 14 + 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. 2 + -7x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -7x = 14 + 0 2 + -7x = 14 Add '-2' to each side of the equation. 2 + -2 + -7x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 14 + -2 -7x = 14 + -2 Combine like terms: 14 + -2 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714
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