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Simplifying 5(2 + -1x) + 7x = -3(x + 5) (2 * 5 + -1x * 5) + 7x = -3(x + 5) (10 + -5x) + 7x = -3(x + 5) Combine like terms: -5x + 7x = 2x 10 + 2x = -3(x + 5) Reorder the terms: 10 + 2x = -3(5 + x) 10 + 2x = (5 * -3 + x * -3) 10 + 2x = (-15 + -3x) Solving 10 + 2x = -15 + -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. 10 + 2x + 3x = -15 + -3x + 3x Combine like terms: 2x + 3x = 5x 10 + 5x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 5x = -15 + 0 10 + 5x = -15 Add '-10' to each side of the equation. 10 + -10 + 5x = -15 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -15 + -10 5x = -15 + -10 Combine like terms: -15 + -10 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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