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Simplifying 3x + 12 = 2x + 13 Reorder the terms: 12 + 3x = 2x + 13 Reorder the terms: 12 + 3x = 13 + 2x Solving 12 + 3x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 3x + -2x = 13 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 13 + 0 12 + 1x = 13 Add '-12' to each side of the equation. 12 + -12 + 1x = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 13 + -12 1x = 13 + -12 Combine like terms: 13 + -12 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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