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Simplifying 8 + -1(3x + 4) = 2(x + 6) + x Reorder the terms: 8 + -1(4 + 3x) = 2(x + 6) + x 8 + (4 * -1 + 3x * -1) = 2(x + 6) + x 8 + (-4 + -3x) = 2(x + 6) + x Combine like terms: 8 + -4 = 4 4 + -3x = 2(x + 6) + x Reorder the terms: 4 + -3x = 2(6 + x) + x 4 + -3x = (6 * 2 + x * 2) + x 4 + -3x = (12 + 2x) + x Combine like terms: 2x + x = 3x 4 + -3x = 12 + 3x Solving 4 + -3x = 12 + 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. 4 + -3x + -3x = 12 + 3x + -3x Combine like terms: -3x + -3x = -6x 4 + -6x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -6x = 12 + 0 4 + -6x = 12 Add '-4' to each side of the equation. 4 + -4 + -6x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 12 + -4 -6x = 12 + -4 Combine like terms: 12 + -4 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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