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Simplifying -2(8x + 10) = 4x + -10(3x + -5) Reorder the terms: -2(10 + 8x) = 4x + -10(3x + -5) (10 * -2 + 8x * -2) = 4x + -10(3x + -5) (-20 + -16x) = 4x + -10(3x + -5) Reorder the terms: -20 + -16x = 4x + -10(-5 + 3x) -20 + -16x = 4x + (-5 * -10 + 3x * -10) -20 + -16x = 4x + (50 + -30x) Reorder the terms: -20 + -16x = 50 + 4x + -30x Combine like terms: 4x + -30x = -26x -20 + -16x = 50 + -26x Solving -20 + -16x = 50 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -20 + -16x + 26x = 50 + -26x + 26x Combine like terms: -16x + 26x = 10x -20 + 10x = 50 + -26x + 26x Combine like terms: -26x + 26x = 0 -20 + 10x = 50 + 0 -20 + 10x = 50 Add '20' to each side of the equation. -20 + 20 + 10x = 50 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 50 + 20 10x = 50 + 20 Combine like terms: 50 + 20 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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