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Simplifying 2(5x + 3) + -3(x + -5) = 7 Reorder the terms: 2(3 + 5x) + -3(x + -5) = 7 (3 * 2 + 5x * 2) + -3(x + -5) = 7 (6 + 10x) + -3(x + -5) = 7 Reorder the terms: 6 + 10x + -3(-5 + x) = 7 6 + 10x + (-5 * -3 + x * -3) = 7 6 + 10x + (15 + -3x) = 7 Reorder the terms: 6 + 15 + 10x + -3x = 7 Combine like terms: 6 + 15 = 21 21 + 10x + -3x = 7 Combine like terms: 10x + -3x = 7x 21 + 7x = 7 Solving 21 + 7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7x = 7 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 7 + -21 7x = 7 + -21 Combine like terms: 7 + -21 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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