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Simplifying 3x + 29 = 12x + -61 Reorder the terms: 29 + 3x = 12x + -61 Reorder the terms: 29 + 3x = -61 + 12x Solving 29 + 3x = -61 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 29 + 3x + -12x = -61 + 12x + -12x Combine like terms: 3x + -12x = -9x 29 + -9x = -61 + 12x + -12x Combine like terms: 12x + -12x = 0 29 + -9x = -61 + 0 29 + -9x = -61 Add '-29' to each side of the equation. 29 + -29 + -9x = -61 + -29 Combine like terms: 29 + -29 = 0 0 + -9x = -61 + -29 -9x = -61 + -29 Combine like terms: -61 + -29 = -90 -9x = -90 Divide each side by '-9'. x = 10 Simplifying x = 10
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