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Simplifying -7(X + 5) + -1(2x + -5) = -10x Reorder the terms: -7(5 + X) + -1(2x + -5) = -10x (5 * -7 + X * -7) + -1(2x + -5) = -10x (-35 + -7X) + -1(2x + -5) = -10x Reorder the terms: -35 + -7X + -1(-5 + 2x) = -10x -35 + -7X + (-5 * -1 + 2x * -1) = -10x -35 + -7X + (5 + -2x) = -10x Reorder the terms: -35 + 5 + -7X + -2x = -10x Combine like terms: -35 + 5 = -30 -30 + -7X + -2x = -10x Solving -30 + -7X + -2x = -10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -7X + 30 + -2x = 30 + -10x Reorder the terms: -30 + 30 + -7X + -2x = 30 + -10x Combine like terms: -30 + 30 = 0 0 + -7X + -2x = 30 + -10x -7X + -2x = 30 + -10x Add '2x' to each side of the equation. -7X + -2x + 2x = 30 + -10x + 2x Combine like terms: -2x + 2x = 0 -7X + 0 = 30 + -10x + 2x -7X = 30 + -10x + 2x Combine like terms: -10x + 2x = -8x -7X = 30 + -8x Divide each side by '-7'. X = -4.285714286 + 1.142857143x Simplifying X = -4.285714286 + 1.142857143x
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