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Simplifying -6(x + -10) + 5(x + -4) = 22 Reorder the terms: -6(-10 + x) + 5(x + -4) = 22 (-10 * -6 + x * -6) + 5(x + -4) = 22 (60 + -6x) + 5(x + -4) = 22 Reorder the terms: 60 + -6x + 5(-4 + x) = 22 60 + -6x + (-4 * 5 + x * 5) = 22 60 + -6x + (-20 + 5x) = 22 Reorder the terms: 60 + -20 + -6x + 5x = 22 Combine like terms: 60 + -20 = 40 40 + -6x + 5x = 22 Combine like terms: -6x + 5x = -1x 40 + -1x = 22 Solving 40 + -1x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 22 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 22 + -40 -1x = 22 + -40 Combine like terms: 22 + -40 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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