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Simplifying 4(x + 2) + 6(x + 2) = 180 Reorder the terms: 4(2 + x) + 6(x + 2) = 180 (2 * 4 + x * 4) + 6(x + 2) = 180 (8 + 4x) + 6(x + 2) = 180 Reorder the terms: 8 + 4x + 6(2 + x) = 180 8 + 4x + (2 * 6 + x * 6) = 180 8 + 4x + (12 + 6x) = 180 Reorder the terms: 8 + 12 + 4x + 6x = 180 Combine like terms: 8 + 12 = 20 20 + 4x + 6x = 180 Combine like terms: 4x + 6x = 10x 20 + 10x = 180 Solving 20 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 10x = 180 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 180 + -20 10x = 180 + -20 Combine like terms: 180 + -20 = 160 10x = 160 Divide each side by '10'. x = 16 Simplifying x = 16
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