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Simplifying 3x + 5 + -2x = 12 + 4x Reorder the terms: 5 + 3x + -2x = 12 + 4x Combine like terms: 3x + -2x = 1x 5 + 1x = 12 + 4x Solving 5 + 1x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 1x + -4x = 12 + 4x + -4x Combine like terms: 1x + -4x = -3x 5 + -3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -3x = 12 + 0 5 + -3x = 12 Add '-5' to each side of the equation. 5 + -5 + -3x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 12 + -5 -3x = 12 + -5 Combine like terms: 12 + -5 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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