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