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Simplifying 3(x + 6) = 2(4x + 24) Reorder the terms: 3(6 + x) = 2(4x + 24) (6 * 3 + x * 3) = 2(4x + 24) (18 + 3x) = 2(4x + 24) Reorder the terms: 18 + 3x = 2(24 + 4x) 18 + 3x = (24 * 2 + 4x * 2) 18 + 3x = (48 + 8x) Solving 18 + 3x = 48 + 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. 18 + 3x + -8x = 48 + 8x + -8x Combine like terms: 3x + -8x = -5x 18 + -5x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -5x = 48 + 0 18 + -5x = 48 Add '-18' to each side of the equation. 18 + -18 + -5x = 48 + -18 Combine like terms: 18 + -18 = 0 0 + -5x = 48 + -18 -5x = 48 + -18 Combine like terms: 48 + -18 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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