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Simplifying 2(x + -4) + -1(x + 1) = 1 Reorder the terms: 2(-4 + x) + -1(x + 1) = 1 (-4 * 2 + x * 2) + -1(x + 1) = 1 (-8 + 2x) + -1(x + 1) = 1 Reorder the terms: -8 + 2x + -1(1 + x) = 1 -8 + 2x + (1 * -1 + x * -1) = 1 -8 + 2x + (-1 + -1x) = 1 Reorder the terms: -8 + -1 + 2x + -1x = 1 Combine like terms: -8 + -1 = -9 -9 + 2x + -1x = 1 Combine like terms: 2x + -1x = 1x -9 + 1x = 1 Solving -9 + 1x = 1 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 + 1x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 1 + 9 1x = 1 + 9 Combine like terms: 1 + 9 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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