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Simplifying 5(5 + -2x) = 1 + -2x (5 * 5 + -2x * 5) = 1 + -2x (25 + -10x) = 1 + -2x Solving 25 + -10x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 25 + -10x + 2x = 1 + -2x + 2x Combine like terms: -10x + 2x = -8x 25 + -8x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 25 + -8x = 1 + 0 25 + -8x = 1 Add '-25' to each side of the equation. 25 + -25 + -8x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + -8x = 1 + -25 -8x = 1 + -25 Combine like terms: 1 + -25 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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