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Simplifying 8x + 24 = 29(4x + 12) Reorder the terms: 24 + 8x = 29(4x + 12) Reorder the terms: 24 + 8x = 29(12 + 4x) 24 + 8x = (12 * 29 + 4x * 29) 24 + 8x = (348 + 116x) Solving 24 + 8x = 348 + 116x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-116x' to each side of the equation. 24 + 8x + -116x = 348 + 116x + -116x Combine like terms: 8x + -116x = -108x 24 + -108x = 348 + 116x + -116x Combine like terms: 116x + -116x = 0 24 + -108x = 348 + 0 24 + -108x = 348 Add '-24' to each side of the equation. 24 + -24 + -108x = 348 + -24 Combine like terms: 24 + -24 = 0 0 + -108x = 348 + -24 -108x = 348 + -24 Combine like terms: 348 + -24 = 324 -108x = 324 Divide each side by '-108'. x = -3 Simplifying x = -3
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