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Simplifying -1(x + -3) + -2 + -1(x + -4) = 7 Reorder the terms: -1(-3 + x) + -2 + -1(x + -4) = 7 (-3 * -1 + x * -1) + -2 + -1(x + -4) = 7 (3 + -1x) + -2 + -1(x + -4) = 7 Reorder the terms: 3 + -1x + -2 + -1(-4 + x) = 7 3 + -1x + -2 + (-4 * -1 + x * -1) = 7 3 + -1x + -2 + (4 + -1x) = 7 Reorder the terms: 3 + -2 + 4 + -1x + -1x = 7 Combine like terms: 3 + -2 = 1 1 + 4 + -1x + -1x = 7 Combine like terms: 1 + 4 = 5 5 + -1x + -1x = 7 Combine like terms: -1x + -1x = -2x 5 + -2x = 7 Solving 5 + -2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 7 + -5 -2x = 7 + -5 Combine like terms: 7 + -5 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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