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Simplifying 2 + -3x = -2x + 12 + 3x Reorder the terms: 2 + -3x = 12 + -2x + 3x Combine like terms: -2x + 3x = 1x 2 + -3x = 12 + 1x Solving 2 + -3x = 12 + 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. 2 + -3x + -1x = 12 + 1x + -1x Combine like terms: -3x + -1x = -4x 2 + -4x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + -4x = 12 + 0 2 + -4x = 12 Add '-2' to each side of the equation. 2 + -2 + -4x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 12 + -2 -4x = 12 + -2 Combine like terms: 12 + -2 = 10 -4x = 10 Divide each side by '-4'. x = -2.5 Simplifying x = -2.5
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