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Simplifying 4(x + 1) + 2(x + 2) = 48 Reorder the terms: 4(1 + x) + 2(x + 2) = 48 (1 * 4 + x * 4) + 2(x + 2) = 48 (4 + 4x) + 2(x + 2) = 48 Reorder the terms: 4 + 4x + 2(2 + x) = 48 4 + 4x + (2 * 2 + x * 2) = 48 4 + 4x + (4 + 2x) = 48 Reorder the terms: 4 + 4 + 4x + 2x = 48 Combine like terms: 4 + 4 = 8 8 + 4x + 2x = 48 Combine like terms: 4x + 2x = 6x 8 + 6x = 48 Solving 8 + 6x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 48 + -8 6x = 48 + -8 Combine like terms: 48 + -8 = 40 6x = 40 Divide each side by '6'. x = 6.666666667 Simplifying x = 6.666666667
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