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Simplifying 4(8 + -1x) = 2(x + 3) + 6x (8 * 4 + -1x * 4) = 2(x + 3) + 6x (32 + -4x) = 2(x + 3) + 6x Reorder the terms: 32 + -4x = 2(3 + x) + 6x 32 + -4x = (3 * 2 + x * 2) + 6x 32 + -4x = (6 + 2x) + 6x Combine like terms: 2x + 6x = 8x 32 + -4x = 6 + 8x Solving 32 + -4x = 6 + 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. 32 + -4x + -8x = 6 + 8x + -8x Combine like terms: -4x + -8x = -12x 32 + -12x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + -12x = 6 + 0 32 + -12x = 6 Add '-32' to each side of the equation. 32 + -32 + -12x = 6 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = 6 + -32 -12x = 6 + -32 Combine like terms: 6 + -32 = -26 -12x = -26 Divide each side by '-12'. x = 2.166666667 Simplifying x = 2.166666667
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