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Simplifying 6(x + -4) + 5(x + -1) = 26 Reorder the terms: 6(-4 + x) + 5(x + -1) = 26 (-4 * 6 + x * 6) + 5(x + -1) = 26 (-24 + 6x) + 5(x + -1) = 26 Reorder the terms: -24 + 6x + 5(-1 + x) = 26 -24 + 6x + (-1 * 5 + x * 5) = 26 -24 + 6x + (-5 + 5x) = 26 Reorder the terms: -24 + -5 + 6x + 5x = 26 Combine like terms: -24 + -5 = -29 -29 + 6x + 5x = 26 Combine like terms: 6x + 5x = 11x -29 + 11x = 26 Solving -29 + 11x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 11x = 26 + 29 Combine like terms: -29 + 29 = 0 0 + 11x = 26 + 29 11x = 26 + 29 Combine like terms: 26 + 29 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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