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Simplifying -1(-2x + -4) + (8x + -7) = 1 + -1(-12x + 9) Reorder the terms: -1(-4 + -2x) + (8x + -7) = 1 + -1(-12x + 9) (-4 * -1 + -2x * -1) + (8x + -7) = 1 + -1(-12x + 9) (4 + 2x) + (8x + -7) = 1 + -1(-12x + 9) Reorder the terms: 4 + 2x + (-7 + 8x) = 1 + -1(-12x + 9) Remove parenthesis around (-7 + 8x) 4 + 2x + -7 + 8x = 1 + -1(-12x + 9) Reorder the terms: 4 + -7 + 2x + 8x = 1 + -1(-12x + 9) Combine like terms: 4 + -7 = -3 -3 + 2x + 8x = 1 + -1(-12x + 9) Combine like terms: 2x + 8x = 10x -3 + 10x = 1 + -1(-12x + 9) Reorder the terms: -3 + 10x = 1 + -1(9 + -12x) -3 + 10x = 1 + (9 * -1 + -12x * -1) -3 + 10x = 1 + (-9 + 12x) Combine like terms: 1 + -9 = -8 -3 + 10x = -8 + 12x Solving -3 + 10x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 10x + -12x = -8 + 12x + -12x Combine like terms: 10x + -12x = -2x -3 + -2x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -2x = -8 + 0 -3 + -2x = -8 Add '3' to each side of the equation. -3 + 3 + -2x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -8 + 3 -2x = -8 + 3 Combine like terms: -8 + 3 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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