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Simplifying 12x + 65 = 8x + 29 Reorder the terms: 65 + 12x = 8x + 29 Reorder the terms: 65 + 12x = 29 + 8x Solving 65 + 12x = 29 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 65 + 12x + -8x = 29 + 8x + -8x Combine like terms: 12x + -8x = 4x 65 + 4x = 29 + 8x + -8x Combine like terms: 8x + -8x = 0 65 + 4x = 29 + 0 65 + 4x = 29 Add '-65' to each side of the equation. 65 + -65 + 4x = 29 + -65 Combine like terms: 65 + -65 = 0 0 + 4x = 29 + -65 4x = 29 + -65 Combine like terms: 29 + -65 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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