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Simplifying 8 + -4x + 2 = 5x + 1 Reorder the terms: 8 + 2 + -4x = 5x + 1 Combine like terms: 8 + 2 = 10 10 + -4x = 5x + 1 Reorder the terms: 10 + -4x = 1 + 5x Solving 10 + -4x = 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. 10 + -4x + -5x = 1 + 5x + -5x Combine like terms: -4x + -5x = -9x 10 + -9x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -9x = 1 + 0 10 + -9x = 1 Add '-10' to each side of the equation. 10 + -10 + -9x = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 1 + -10 -9x = 1 + -10 Combine like terms: 1 + -10 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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