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Simplifying 5x + 35 = 12x + -21 Reorder the terms: 35 + 5x = 12x + -21 Reorder the terms: 35 + 5x = -21 + 12x Solving 35 + 5x = -21 + 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 + 5x + -12x = -21 + 12x + -12x Combine like terms: 5x + -12x = -7x 35 + -7x = -21 + 12x + -12x Combine like terms: 12x + -12x = 0 35 + -7x = -21 + 0 35 + -7x = -21 Add '-35' to each side of the equation. 35 + -35 + -7x = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -7x = -21 + -35 -7x = -21 + -35 Combine like terms: -21 + -35 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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