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Simplifying 3(x + 3) + -2(2x + 3) = 8(x + -3) Reorder the terms: 3(3 + x) + -2(2x + 3) = 8(x + -3) (3 * 3 + x * 3) + -2(2x + 3) = 8(x + -3) (9 + 3x) + -2(2x + 3) = 8(x + -3) Reorder the terms: 9 + 3x + -2(3 + 2x) = 8(x + -3) 9 + 3x + (3 * -2 + 2x * -2) = 8(x + -3) 9 + 3x + (-6 + -4x) = 8(x + -3) Reorder the terms: 9 + -6 + 3x + -4x = 8(x + -3) Combine like terms: 9 + -6 = 3 3 + 3x + -4x = 8(x + -3) Combine like terms: 3x + -4x = -1x 3 + -1x = 8(x + -3) Reorder the terms: 3 + -1x = 8(-3 + x) 3 + -1x = (-3 * 8 + x * 8) 3 + -1x = (-24 + 8x) Solving 3 + -1x = -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. 3 + -1x + -8x = -24 + 8x + -8x Combine like terms: -1x + -8x = -9x 3 + -9x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -9x = -24 + 0 3 + -9x = -24 Add '-3' to each side of the equation. 3 + -3 + -9x = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -24 + -3 -9x = -24 + -3 Combine like terms: -24 + -3 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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