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Simplifying 3(x + 9) + -1(-6x + -6) = 8x Reorder the terms: 3(9 + x) + -1(-6x + -6) = 8x (9 * 3 + x * 3) + -1(-6x + -6) = 8x (27 + 3x) + -1(-6x + -6) = 8x Reorder the terms: 27 + 3x + -1(-6 + -6x) = 8x 27 + 3x + (-6 * -1 + -6x * -1) = 8x 27 + 3x + (6 + 6x) = 8x Reorder the terms: 27 + 6 + 3x + 6x = 8x Combine like terms: 27 + 6 = 33 33 + 3x + 6x = 8x Combine like terms: 3x + 6x = 9x 33 + 9x = 8x Solving 33 + 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. 33 + 9x + -8x = 8x + -8x Combine like terms: 9x + -8x = 1x 33 + 1x = 8x + -8x Combine like terms: 8x + -8x = 0 33 + 1x = 0 Add '-33' to each side of the equation. 33 + -33 + 1x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 1x = 0 + -33 1x = 0 + -33 Combine like terms: 0 + -33 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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