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Simplifying 8x + -2 + -5x + 7 = 1x + 7 Reorder the terms: -2 + 7 + 8x + -5x = 1x + 7 Combine like terms: -2 + 7 = 5 5 + 8x + -5x = 1x + 7 Combine like terms: 8x + -5x = 3x 5 + 3x = 1x + 7 Reorder the terms: 5 + 3x = 7 + 1x Solving 5 + 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. 5 + 3x + -1x = 7 + 1x + -1x Combine like terms: 3x + -1x = 2x 5 + 2x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 2x = 7 + 0 5 + 2x = 7 Add '-5' to each side of the equation. 5 + -5 + 2x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 7 + -5 2x = 7 + -5 Combine like terms: 7 + -5 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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