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Simplifying -1x(3 + 2) = 7(x + 2) + 10 Combine like terms: 3 + 2 = 5 -1x(5) = 7(x + 2) + 10 Reorder the terms for easier multiplication: -1 * 5x = 7(x + 2) + 10 Multiply -1 * 5 -5x = 7(x + 2) + 10 Reorder the terms: -5x = 7(2 + x) + 10 -5x = (2 * 7 + x * 7) + 10 -5x = (14 + 7x) + 10 Reorder the terms: -5x = 14 + 10 + 7x Combine like terms: 14 + 10 = 24 -5x = 24 + 7x Solving -5x = 24 + 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. -5x + -7x = 24 + 7x + -7x Combine like terms: -5x + -7x = -12x -12x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -12x = 24 + 0 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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