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Simplifying -2(5x + -4) + -1(4x + 1) = 0 Reorder the terms: -2(-4 + 5x) + -1(4x + 1) = 0 (-4 * -2 + 5x * -2) + -1(4x + 1) = 0 (8 + -10x) + -1(4x + 1) = 0 Reorder the terms: 8 + -10x + -1(1 + 4x) = 0 8 + -10x + (1 * -1 + 4x * -1) = 0 8 + -10x + (-1 + -4x) = 0 Reorder the terms: 8 + -1 + -10x + -4x = 0 Combine like terms: 8 + -1 = 7 7 + -10x + -4x = 0 Combine like terms: -10x + -4x = -14x 7 + -14x = 0 Solving 7 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -14x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = 0 + -7 -14x = 0 + -7 Combine like terms: 0 + -7 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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