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