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Simplifying -10(x + -6) + 10(7x + 10) = -12x + -8x Reorder the terms: -10(-6 + x) + 10(7x + 10) = -12x + -8x (-6 * -10 + x * -10) + 10(7x + 10) = -12x + -8x (60 + -10x) + 10(7x + 10) = -12x + -8x Reorder the terms: 60 + -10x + 10(10 + 7x) = -12x + -8x 60 + -10x + (10 * 10 + 7x * 10) = -12x + -8x 60 + -10x + (100 + 70x) = -12x + -8x Reorder the terms: 60 + 100 + -10x + 70x = -12x + -8x Combine like terms: 60 + 100 = 160 160 + -10x + 70x = -12x + -8x Combine like terms: -10x + 70x = 60x 160 + 60x = -12x + -8x Combine like terms: -12x + -8x = -20x 160 + 60x = -20x Solving 160 + 60x = -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 160 + 60x + 20x = -20x + 20x Combine like terms: 60x + 20x = 80x 160 + 80x = -20x + 20x Combine like terms: -20x + 20x = 0 160 + 80x = 0 Add '-160' to each side of the equation. 160 + -160 + 80x = 0 + -160 Combine like terms: 160 + -160 = 0 0 + 80x = 0 + -160 80x = 0 + -160 Combine like terms: 0 + -160 = -160 80x = -160 Divide each side by '80'. x = -2 Simplifying x = -2
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