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Simplifying 4(2x + 6) = 5x + 5 + 2 Reorder the terms: 4(6 + 2x) = 5x + 5 + 2 (6 * 4 + 2x * 4) = 5x + 5 + 2 (24 + 8x) = 5x + 5 + 2 Reorder the terms: 24 + 8x = 5 + 2 + 5x Combine like terms: 5 + 2 = 7 24 + 8x = 7 + 5x Solving 24 + 8x = 7 + 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 = 7 + 5x + -5x Combine like terms: 8x + -5x = 3x 24 + 3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 3x = 7 + 0 24 + 3x = 7 Add '-24' to each side of the equation. 24 + -24 + 3x = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 7 + -24 3x = 7 + -24 Combine like terms: 7 + -24 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667
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