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Simplifying 4(2x + 6) = 5(x + 6) + 2 Reorder the terms: 4(6 + 2x) = 5(x + 6) + 2 (6 * 4 + 2x * 4) = 5(x + 6) + 2 (24 + 8x) = 5(x + 6) + 2 Reorder the terms: 24 + 8x = 5(6 + x) + 2 24 + 8x = (6 * 5 + x * 5) + 2 24 + 8x = (30 + 5x) + 2 Reorder the terms: 24 + 8x = 30 + 2 + 5x Combine like terms: 30 + 2 = 32 24 + 8x = 32 + 5x Solving 24 + 8x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 8x + -5x = 32 + 5x + -5x Combine like terms: 8x + -5x = 3x 24 + 3x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 3x = 32 + 0 24 + 3x = 32 Add '-24' to each side of the equation. 24 + -24 + 3x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 32 + -24 3x = 32 + -24 Combine like terms: 32 + -24 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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