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Simplifying 3 + 4x + 2 + -2x = -5 + 4x + 7 + -3x Reorder the terms: 3 + 2 + 4x + -2x = -5 + 4x + 7 + -3x Combine like terms: 3 + 2 = 5 5 + 4x + -2x = -5 + 4x + 7 + -3x Combine like terms: 4x + -2x = 2x 5 + 2x = -5 + 4x + 7 + -3x Reorder the terms: 5 + 2x = -5 + 7 + 4x + -3x Combine like terms: -5 + 7 = 2 5 + 2x = 2 + 4x + -3x Combine like terms: 4x + -3x = 1x 5 + 2x = 2 + 1x Solving 5 + 2x = 2 + 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. 5 + 2x + -1x = 2 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 2 + 0 5 + 1x = 2 Add '-5' to each side of the equation. 5 + -5 + 1x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 2 + -5 1x = 2 + -5 Combine like terms: 2 + -5 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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