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Simplifying -7(-6 + 3x) + -2(x + -5) = 10x + -7x (-6 * -7 + 3x * -7) + -2(x + -5) = 10x + -7x (42 + -21x) + -2(x + -5) = 10x + -7x Reorder the terms: 42 + -21x + -2(-5 + x) = 10x + -7x 42 + -21x + (-5 * -2 + x * -2) = 10x + -7x 42 + -21x + (10 + -2x) = 10x + -7x Reorder the terms: 42 + 10 + -21x + -2x = 10x + -7x Combine like terms: 42 + 10 = 52 52 + -21x + -2x = 10x + -7x Combine like terms: -21x + -2x = -23x 52 + -23x = 10x + -7x Combine like terms: 10x + -7x = 3x 52 + -23x = 3x Solving 52 + -23x = 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. 52 + -23x + -3x = 3x + -3x Combine like terms: -23x + -3x = -26x 52 + -26x = 3x + -3x Combine like terms: 3x + -3x = 0 52 + -26x = 0 Add '-52' to each side of the equation. 52 + -52 + -26x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -26x = 0 + -52 -26x = 0 + -52 Combine like terms: 0 + -52 = -52 -26x = -52 Divide each side by '-26'. x = 2 Simplifying x = 2
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