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Simplifying 2x + 14 + -3x + 12 = 3x + 15 + -2 Reorder the terms: 14 + 12 + 2x + -3x = 3x + 15 + -2 Combine like terms: 14 + 12 = 26 26 + 2x + -3x = 3x + 15 + -2 Combine like terms: 2x + -3x = -1x 26 + -1x = 3x + 15 + -2 Reorder the terms: 26 + -1x = 15 + -2 + 3x Combine like terms: 15 + -2 = 13 26 + -1x = 13 + 3x Solving 26 + -1x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 26 + -1x + -3x = 13 + 3x + -3x Combine like terms: -1x + -3x = -4x 26 + -4x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 26 + -4x = 13 + 0 26 + -4x = 13 Add '-26' to each side of the equation. 26 + -26 + -4x = 13 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = 13 + -26 -4x = 13 + -26 Combine like terms: 13 + -26 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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