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Simplifying 4(x + 10) + 2(x + 38) = 180 Reorder the terms: 4(10 + x) + 2(x + 38) = 180 (10 * 4 + x * 4) + 2(x + 38) = 180 (40 + 4x) + 2(x + 38) = 180 Reorder the terms: 40 + 4x + 2(38 + x) = 180 40 + 4x + (38 * 2 + x * 2) = 180 40 + 4x + (76 + 2x) = 180 Reorder the terms: 40 + 76 + 4x + 2x = 180 Combine like terms: 40 + 76 = 116 116 + 4x + 2x = 180 Combine like terms: 4x + 2x = 6x 116 + 6x = 180 Solving 116 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-116' to each side of the equation. 116 + -116 + 6x = 180 + -116 Combine like terms: 116 + -116 = 0 0 + 6x = 180 + -116 6x = 180 + -116 Combine like terms: 180 + -116 = 64 6x = 64 Divide each side by '6'. x = 10.66666667 Simplifying x = 10.66666667
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