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Simplifying -21x + 53 = -12x + 35 Reorder the terms: 53 + -21x = -12x + 35 Reorder the terms: 53 + -21x = 35 + -12x Solving 53 + -21x = 35 + -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. 53 + -21x + 12x = 35 + -12x + 12x Combine like terms: -21x + 12x = -9x 53 + -9x = 35 + -12x + 12x Combine like terms: -12x + 12x = 0 53 + -9x = 35 + 0 53 + -9x = 35 Add '-53' to each side of the equation. 53 + -53 + -9x = 35 + -53 Combine like terms: 53 + -53 = 0 0 + -9x = 35 + -53 -9x = 35 + -53 Combine like terms: 35 + -53 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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