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Simplifying 1 + -1(7 + -2x) + -1x = 5x + -2(x + -4) 1 + (7 * -1 + -2x * -1) + -1x = 5x + -2(x + -4) 1 + (-7 + 2x) + -1x = 5x + -2(x + -4) Combine like terms: 1 + -7 = -6 -6 + 2x + -1x = 5x + -2(x + -4) Combine like terms: 2x + -1x = 1x -6 + 1x = 5x + -2(x + -4) Reorder the terms: -6 + 1x = 5x + -2(-4 + x) -6 + 1x = 5x + (-4 * -2 + x * -2) -6 + 1x = 5x + (8 + -2x) Reorder the terms: -6 + 1x = 8 + 5x + -2x Combine like terms: 5x + -2x = 3x -6 + 1x = 8 + 3x Solving -6 + 1x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 1x + -3x = 8 + 3x + -3x Combine like terms: 1x + -3x = -2x -6 + -2x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2x = 8 + 0 -6 + -2x = 8 Add '6' to each side of the equation. -6 + 6 + -2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 8 + 6 -2x = 8 + 6 Combine like terms: 8 + 6 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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