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Simplifying -2(x + -4) + 1 = 7 Reorder the terms: -2(-4 + x) + 1 = 7 (-4 * -2 + x * -2) + 1 = 7 (8 + -2x) + 1 = 7 Reorder the terms: 8 + 1 + -2x = 7 Combine like terms: 8 + 1 = 9 9 + -2x = 7 Solving 9 + -2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 7 + -9 -2x = 7 + -9 Combine like terms: 7 + -9 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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