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Simplifying 5(x + -4) + -2(5x + 3) = x + -26 Reorder the terms: 5(-4 + x) + -2(5x + 3) = x + -26 (-4 * 5 + x * 5) + -2(5x + 3) = x + -26 (-20 + 5x) + -2(5x + 3) = x + -26 Reorder the terms: -20 + 5x + -2(3 + 5x) = x + -26 -20 + 5x + (3 * -2 + 5x * -2) = x + -26 -20 + 5x + (-6 + -10x) = x + -26 Reorder the terms: -20 + -6 + 5x + -10x = x + -26 Combine like terms: -20 + -6 = -26 -26 + 5x + -10x = x + -26 Combine like terms: 5x + -10x = -5x -26 + -5x = x + -26 Reorder the terms: -26 + -5x = -26 + x Add '26' to each side of the equation. -26 + 26 + -5x = -26 + 26 + x Combine like terms: -26 + 26 = 0 0 + -5x = -26 + 26 + x -5x = -26 + 26 + x Combine like terms: -26 + 26 = 0 -5x = 0 + x -5x = x Solving -5x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5x + -1x = x + -1x Combine like terms: -5x + -1x = -6x -6x = x + -1x Combine like terms: x + -1x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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