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