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Simplifying 4(1 + -1x) + -4(1 + -10x) = 2x + -7x (1 * 4 + -1x * 4) + -4(1 + -10x) = 2x + -7x (4 + -4x) + -4(1 + -10x) = 2x + -7x 4 + -4x + (1 * -4 + -10x * -4) = 2x + -7x 4 + -4x + (-4 + 40x) = 2x + -7x Reorder the terms: 4 + -4 + -4x + 40x = 2x + -7x Combine like terms: 4 + -4 = 0 0 + -4x + 40x = 2x + -7x -4x + 40x = 2x + -7x Combine like terms: -4x + 40x = 36x 36x = 2x + -7x Combine like terms: 2x + -7x = -5x 36x = -5x Solving 36x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 36x + 5x = -5x + 5x Combine like terms: 36x + 5x = 41x 41x = -5x + 5x Combine like terms: -5x + 5x = 0 41x = 0 Divide each side by '41'. x = 0 Simplifying x = 0
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