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Simplifying 6(x + 3) + -1(4 + -3x) = 8x Reorder the terms: 6(3 + x) + -1(4 + -3x) = 8x (3 * 6 + x * 6) + -1(4 + -3x) = 8x (18 + 6x) + -1(4 + -3x) = 8x 18 + 6x + (4 * -1 + -3x * -1) = 8x 18 + 6x + (-4 + 3x) = 8x Reorder the terms: 18 + -4 + 6x + 3x = 8x Combine like terms: 18 + -4 = 14 14 + 6x + 3x = 8x Combine like terms: 6x + 3x = 9x 14 + 9x = 8x Solving 14 + 9x = 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. 14 + 9x + -8x = 8x + -8x Combine like terms: 9x + -8x = 1x 14 + 1x = 8x + -8x Combine like terms: 8x + -8x = 0 14 + 1x = 0 Add '-14' to each side of the equation. 14 + -14 + 1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 0 + -14 1x = 0 + -14 Combine like terms: 0 + -14 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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