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Simplifying 2(2x + -1) + -1(x + -5) + 5(4x + 10) = 0 Reorder the terms: 2(-1 + 2x) + -1(x + -5) + 5(4x + 10) = 0 (-1 * 2 + 2x * 2) + -1(x + -5) + 5(4x + 10) = 0 (-2 + 4x) + -1(x + -5) + 5(4x + 10) = 0 Reorder the terms: -2 + 4x + -1(-5 + x) + 5(4x + 10) = 0 -2 + 4x + (-5 * -1 + x * -1) + 5(4x + 10) = 0 -2 + 4x + (5 + -1x) + 5(4x + 10) = 0 Reorder the terms: -2 + 4x + 5 + -1x + 5(10 + 4x) = 0 -2 + 4x + 5 + -1x + (10 * 5 + 4x * 5) = 0 -2 + 4x + 5 + -1x + (50 + 20x) = 0 Reorder the terms: -2 + 5 + 50 + 4x + -1x + 20x = 0 Combine like terms: -2 + 5 = 3 3 + 50 + 4x + -1x + 20x = 0 Combine like terms: 3 + 50 = 53 53 + 4x + -1x + 20x = 0 Combine like terms: 4x + -1x = 3x 53 + 3x + 20x = 0 Combine like terms: 3x + 20x = 23x 53 + 23x = 0 Solving 53 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 23x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 23x = 0 + -53 23x = 0 + -53 Combine like terms: 0 + -53 = -53 23x = -53 Divide each side by '23'. x = -2.304347826 Simplifying x = -2.304347826
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