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