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Simplifying 12x + 13 + -12x = 13x + 3 + -12x Reorder the terms: 13 + 12x + -12x = 13x + 3 + -12x Combine like terms: 12x + -12x = 0 13 + 0 = 13x + 3 + -12x 13 = 13x + 3 + -12x Reorder the terms: 13 = 3 + 13x + -12x Combine like terms: 13x + -12x = 1x 13 = 3 + 1x Solving 13 = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + -1x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 13 + -1x = 3 + 0 13 + -1x = 3 Add '-13' to each side of the equation. 13 + -13 + -1x = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 3 + -13 -1x = 3 + -13 Combine like terms: 3 + -13 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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