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Simplifying -10 = -4(1 + 5x) + 6(-1 + -5x) -10 = (1 * -4 + 5x * -4) + 6(-1 + -5x) -10 = (-4 + -20x) + 6(-1 + -5x) -10 = -4 + -20x + (-1 * 6 + -5x * 6) -10 = -4 + -20x + (-6 + -30x) Reorder the terms: -10 = -4 + -6 + -20x + -30x Combine like terms: -4 + -6 = -10 -10 = -10 + -20x + -30x Combine like terms: -20x + -30x = -50x -10 = -10 + -50x Add '10' to each side of the equation. -10 + 10 = -10 + 10 + -50x Combine like terms: -10 + 10 = 0 0 = -10 + 10 + -50x Combine like terms: -10 + 10 = 0 0 = 0 + -50x 0 = -50x Solving 0 = -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 0 + 50x = -50x + 50x Remove the zero: 50x = -50x + 50x Combine like terms: -50x + 50x = 0 50x = 0 Divide each side by '50'. x = 0 Simplifying x = 0
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