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Simplifying 4(x + 2) + 6(x + 1) = 144 Reorder the terms: 4(2 + x) + 6(x + 1) = 144 (2 * 4 + x * 4) + 6(x + 1) = 144 (8 + 4x) + 6(x + 1) = 144 Reorder the terms: 8 + 4x + 6(1 + x) = 144 8 + 4x + (1 * 6 + x * 6) = 144 8 + 4x + (6 + 6x) = 144 Reorder the terms: 8 + 6 + 4x + 6x = 144 Combine like terms: 8 + 6 = 14 14 + 4x + 6x = 144 Combine like terms: 4x + 6x = 10x 14 + 10x = 144 Solving 14 + 10x = 144 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 10x = 144 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = 144 + -14 10x = 144 + -14 Combine like terms: 144 + -14 = 130 10x = 130 Divide each side by '10'. x = 13 Simplifying x = 13
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