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