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Simplifying -8 = 4(1 + 3x) + -1(1 + x) -8 = (1 * 4 + 3x * 4) + -1(1 + x) -8 = (4 + 12x) + -1(1 + x) -8 = 4 + 12x + (1 * -1 + x * -1) -8 = 4 + 12x + (-1 + -1x) Reorder the terms: -8 = 4 + -1 + 12x + -1x Combine like terms: 4 + -1 = 3 -8 = 3 + 12x + -1x Combine like terms: 12x + -1x = 11x -8 = 3 + 11x Solving -8 = 3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -8 + -11x = 3 + 11x + -11x Combine like terms: 11x + -11x = 0 -8 + -11x = 3 + 0 -8 + -11x = 3 Add '8' to each side of the equation. -8 + 8 + -11x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -11x = 3 + 8 -11x = 3 + 8 Combine like terms: 3 + 8 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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