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Simplifying 3(3x + 3) = 8(x + -3) Reorder the terms: 3(3 + 3x) = 8(x + -3) (3 * 3 + 3x * 3) = 8(x + -3) (9 + 9x) = 8(x + -3) Reorder the terms: 9 + 9x = 8(-3 + x) 9 + 9x = (-3 * 8 + x * 8) 9 + 9x = (-24 + 8x) Solving 9 + 9x = -24 + 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. 9 + 9x + -8x = -24 + 8x + -8x Combine like terms: 9x + -8x = 1x 9 + 1x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + 1x = -24 + 0 9 + 1x = -24 Add '-9' to each side of the equation. 9 + -9 + 1x = -24 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -24 + -9 1x = -24 + -9 Combine like terms: -24 + -9 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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