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Simplifying x(2) + -5x + 1 = 10 + -5x Reorder the terms for easier multiplication: 2x + -5x + 1 = 10 + -5x Reorder the terms: 1 + 2x + -5x = 10 + -5x Combine like terms: 2x + -5x = -3x 1 + -3x = 10 + -5x Solving 1 + -3x = 10 + -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. 1 + -3x + 5x = 10 + -5x + 5x Combine like terms: -3x + 5x = 2x 1 + 2x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 2x = 10 + 0 1 + 2x = 10 Add '-1' to each side of the equation. 1 + -1 + 2x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 10 + -1 2x = 10 + -1 Combine like terms: 10 + -1 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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