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Simplifying 8 + -2x + 7 = 5x + 1 Reorder the terms: 8 + 7 + -2x = 5x + 1 Combine like terms: 8 + 7 = 15 15 + -2x = 5x + 1 Reorder the terms: 15 + -2x = 1 + 5x Solving 15 + -2x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + -2x + -5x = 1 + 5x + -5x Combine like terms: -2x + -5x = -7x 15 + -7x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -7x = 1 + 0 15 + -7x = 1 Add '-15' to each side of the equation. 15 + -15 + -7x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 1 + -15 -7x = 1 + -15 Combine like terms: 1 + -15 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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