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Simplifying 12 + -1(4x + 1) = 6(x + -3) + 2x Reorder the terms: 12 + -1(1 + 4x) = 6(x + -3) + 2x 12 + (1 * -1 + 4x * -1) = 6(x + -3) + 2x 12 + (-1 + -4x) = 6(x + -3) + 2x Combine like terms: 12 + -1 = 11 11 + -4x = 6(x + -3) + 2x Reorder the terms: 11 + -4x = 6(-3 + x) + 2x 11 + -4x = (-3 * 6 + x * 6) + 2x 11 + -4x = (-18 + 6x) + 2x Combine like terms: 6x + 2x = 8x 11 + -4x = -18 + 8x Solving 11 + -4x = -18 + 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. 11 + -4x + -8x = -18 + 8x + -8x Combine like terms: -4x + -8x = -12x 11 + -12x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -12x = -18 + 0 11 + -12x = -18 Add '-11' to each side of the equation. 11 + -11 + -12x = -18 + -11 Combine like terms: 11 + -11 = 0 0 + -12x = -18 + -11 -12x = -18 + -11 Combine like terms: -18 + -11 = -29 -12x = -29 Divide each side by '-12'. x = 2.416666667 Simplifying x = 2.416666667
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