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Simplifying 12x + -13 = 53 + -10x Reorder the terms: -13 + 12x = 53 + -10x Solving -13 + 12x = 53 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -13 + 12x + 10x = 53 + -10x + 10x Combine like terms: 12x + 10x = 22x -13 + 22x = 53 + -10x + 10x Combine like terms: -10x + 10x = 0 -13 + 22x = 53 + 0 -13 + 22x = 53 Add '13' to each side of the equation. -13 + 13 + 22x = 53 + 13 Combine like terms: -13 + 13 = 0 0 + 22x = 53 + 13 22x = 53 + 13 Combine like terms: 53 + 13 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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