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Simplifying -2(5x + 10) = -3x + 32 Reorder the terms: -2(10 + 5x) = -3x + 32 (10 * -2 + 5x * -2) = -3x + 32 (-20 + -10x) = -3x + 32 Reorder the terms: -20 + -10x = 32 + -3x Solving -20 + -10x = 32 + -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. -20 + -10x + 3x = 32 + -3x + 3x Combine like terms: -10x + 3x = -7x -20 + -7x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + -7x = 32 + 0 -20 + -7x = 32 Add '20' to each side of the equation. -20 + 20 + -7x = 32 + 20 Combine like terms: -20 + 20 = 0 0 + -7x = 32 + 20 -7x = 32 + 20 Combine like terms: 32 + 20 = 52 -7x = 52 Divide each side by '-7'. x = -7.428571429 Simplifying x = -7.428571429
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