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Simplifying 2x + 4(6x + 12) = 178 Reorder the terms: 2x + 4(12 + 6x) = 178 2x + (12 * 4 + 6x * 4) = 178 2x + (48 + 24x) = 178 Reorder the terms: 48 + 2x + 24x = 178 Combine like terms: 2x + 24x = 26x 48 + 26x = 178 Solving 48 + 26x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 26x = 178 + -48 Combine like terms: 48 + -48 = 0 0 + 26x = 178 + -48 26x = 178 + -48 Combine like terms: 178 + -48 = 130 26x = 130 Divide each side by '26'. x = 5 Simplifying x = 5
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