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Simplifying 12x + 12 = 13x + 10 Reorder the terms: 12 + 12x = 13x + 10 Reorder the terms: 12 + 12x = 10 + 13x Solving 12 + 12x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12 + 12x + -13x = 10 + 13x + -13x Combine like terms: 12x + -13x = -1x 12 + -1x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -1x = 10 + 0 12 + -1x = 10 Add '-12' to each side of the equation. 12 + -12 + -1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 10 + -12 -1x = 10 + -12 Combine like terms: 10 + -12 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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