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