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Simplifying -6x + -3(x + -1) = -1(1 + 8x) Reorder the terms: -6x + -3(-1 + x) = -1(1 + 8x) -6x + (-1 * -3 + x * -3) = -1(1 + 8x) -6x + (3 + -3x) = -1(1 + 8x) Reorder the terms: 3 + -6x + -3x = -1(1 + 8x) Combine like terms: -6x + -3x = -9x 3 + -9x = -1(1 + 8x) 3 + -9x = (1 * -1 + 8x * -1) 3 + -9x = (-1 + -8x) Solving 3 + -9x = -1 + -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. 3 + -9x + 8x = -1 + -8x + 8x Combine like terms: -9x + 8x = -1x 3 + -1x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + -1x = -1 + 0 3 + -1x = -1 Add '-3' to each side of the equation. 3 + -3 + -1x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -1 + -3 -1x = -1 + -3 Combine like terms: -1 + -3 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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