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