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Simplifying 4x + -1(2 + 6x + -1(10x + 5)) = 5 Reorder the terms: 4x + -1(2 + 6x + -1(5 + 10x)) = 5 4x + -1(2 + 6x + (5 * -1 + 10x * -1)) = 5 4x + -1(2 + 6x + (-5 + -10x)) = 5 Reorder the terms: 4x + -1(2 + -5 + 6x + -10x) = 5 Combine like terms: 2 + -5 = -3 4x + -1(-3 + 6x + -10x) = 5 Combine like terms: 6x + -10x = -4x 4x + -1(-3 + -4x) = 5 4x + (-3 * -1 + -4x * -1) = 5 4x + (3 + 4x) = 5 Reorder the terms: 3 + 4x + 4x = 5 Combine like terms: 4x + 4x = 8x 3 + 8x = 5 Solving 3 + 8x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 5 + -3 8x = 5 + -3 Combine like terms: 5 + -3 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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