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Simplifying [2x + -4] + -1[x + 5] = 1 Reorder the terms: [-4 + 2x] + -1[x + 5] = 1 Remove brackets around [-4 + 2x] -4 + 2x + -1[x + 5] = 1 Reorder the terms: -4 + 2x + -1[5 + x] = 1 -4 + 2x + [5 * -1 + x * -1] = 1 -4 + 2x + [-5 + -1x] = 1 Reorder the terms: -4 + -5 + 2x + -1x = 1 Combine like terms: -4 + -5 = -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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