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Simplifying -10x + 4(5x + -1) = -4(1 + 4x) Reorder the terms: -10x + 4(-1 + 5x) = -4(1 + 4x) -10x + (-1 * 4 + 5x * 4) = -4(1 + 4x) -10x + (-4 + 20x) = -4(1 + 4x) Reorder the terms: -4 + -10x + 20x = -4(1 + 4x) Combine like terms: -10x + 20x = 10x -4 + 10x = -4(1 + 4x) -4 + 10x = (1 * -4 + 4x * -4) -4 + 10x = (-4 + -16x) Add '4' to each side of the equation. -4 + 4 + 10x = -4 + 4 + -16x Combine like terms: -4 + 4 = 0 0 + 10x = -4 + 4 + -16x 10x = -4 + 4 + -16x Combine like terms: -4 + 4 = 0 10x = 0 + -16x 10x = -16x Solving 10x = -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 10x + 16x = -16x + 16x Combine like terms: 10x + 16x = 26x 26x = -16x + 16x Combine like terms: -16x + 16x = 0 26x = 0 Divide each side by '26'. x = 0 Simplifying x = 0
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