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Simplifying 4(2x + -1) + -5(x + -10) = 26 Reorder the terms: 4(-1 + 2x) + -5(x + -10) = 26 (-1 * 4 + 2x * 4) + -5(x + -10) = 26 (-4 + 8x) + -5(x + -10) = 26 Reorder the terms: -4 + 8x + -5(-10 + x) = 26 -4 + 8x + (-10 * -5 + x * -5) = 26 -4 + 8x + (50 + -5x) = 26 Reorder the terms: -4 + 50 + 8x + -5x = 26 Combine like terms: -4 + 50 = 46 46 + 8x + -5x = 26 Combine like terms: 8x + -5x = 3x 46 + 3x = 26 Solving 46 + 3x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 3x = 26 + -46 Combine like terms: 46 + -46 = 0 0 + 3x = 26 + -46 3x = 26 + -46 Combine like terms: 26 + -46 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667
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