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Simplifying 4x + 35 = 12x + -61 Reorder the terms: 35 + 4x = 12x + -61 Reorder the terms: 35 + 4x = -61 + 12x Solving 35 + 4x = -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. 35 + 4x + -12x = -61 + 12x + -12x Combine like terms: 4x + -12x = -8x 35 + -8x = -61 + 12x + -12x Combine like terms: 12x + -12x = 0 35 + -8x = -61 + 0 35 + -8x = -61 Add '-35' to each side of the equation. 35 + -35 + -8x = -61 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = -61 + -35 -8x = -61 + -35 Combine like terms: -61 + -35 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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