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Simplifying 12x + 29 = 16x + 61 Reorder the terms: 29 + 12x = 16x + 61 Reorder the terms: 29 + 12x = 61 + 16x Solving 29 + 12x = 61 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 29 + 12x + -16x = 61 + 16x + -16x Combine like terms: 12x + -16x = -4x 29 + -4x = 61 + 16x + -16x Combine like terms: 16x + -16x = 0 29 + -4x = 61 + 0 29 + -4x = 61 Add '-29' to each side of the equation. 29 + -29 + -4x = 61 + -29 Combine like terms: 29 + -29 = 0 0 + -4x = 61 + -29 -4x = 61 + -29 Combine like terms: 61 + -29 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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