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Simplifying -4(x + -1) = 9 + -1(x + -7x) + 1 + 2x Reorder the terms: -4(-1 + x) = 9 + -1(x + -7x) + 1 + 2x (-1 * -4 + x * -4) = 9 + -1(x + -7x) + 1 + 2x (4 + -4x) = 9 + -1(x + -7x) + 1 + 2x Combine like terms: x + -7x = -6x 4 + -4x = 9 + -1(-6x) + 1 + 2x Remove parenthesis around (-6x) 4 + -4x = 9 + -1 * -6x + 1 + 2x Multiply -1 * -6 4 + -4x = 9 + 6x + 1 + 2x Reorder the terms: 4 + -4x = 9 + 1 + 6x + 2x Combine like terms: 9 + 1 = 10 4 + -4x = 10 + 6x + 2x Combine like terms: 6x + 2x = 8x 4 + -4x = 10 + 8x Solving 4 + -4x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -4x + -8x = 10 + 8x + -8x Combine like terms: -4x + -8x = -12x 4 + -12x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -12x = 10 + 0 4 + -12x = 10 Add '-4' to each side of the equation. 4 + -4 + -12x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 10 + -4 -12x = 10 + -4 Combine like terms: 10 + -4 = 6 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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