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Simplifying 5(2 + -1x) + 3(x + 5) = -7x (2 * 5 + -1x * 5) + 3(x + 5) = -7x (10 + -5x) + 3(x + 5) = -7x Reorder the terms: 10 + -5x + 3(5 + x) = -7x 10 + -5x + (5 * 3 + x * 3) = -7x 10 + -5x + (15 + 3x) = -7x Reorder the terms: 10 + 15 + -5x + 3x = -7x Combine like terms: 10 + 15 = 25 25 + -5x + 3x = -7x Combine like terms: -5x + 3x = -2x 25 + -2x = -7x Solving 25 + -2x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 25 + -2x + 7x = -7x + 7x Combine like terms: -2x + 7x = 5x 25 + 5x = -7x + 7x Combine like terms: -7x + 7x = 0 25 + 5x = 0 Add '-25' to each side of the equation. 25 + -25 + 5x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = 0 + -25 5x = 0 + -25 Combine like terms: 0 + -25 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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