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Simplifying 33 = 3(x + 8) + -6x Reorder the terms: 33 = 3(8 + x) + -6x 33 = (8 * 3 + x * 3) + -6x 33 = (24 + 3x) + -6x Combine like terms: 3x + -6x = -3x 33 = 24 + -3x Solving 33 = 24 + -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. 33 + 3x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 33 + 3x = 24 + 0 33 + 3x = 24 Add '-33' to each side of the equation. 33 + -33 + 3x = 24 + -33 Combine like terms: 33 + -33 = 0 0 + 3x = 24 + -33 3x = 24 + -33 Combine like terms: 24 + -33 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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