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Simplifying 5(x + -4) + -1(x + 10) = 11 Reorder the terms: 5(-4 + x) + -1(x + 10) = 11 (-4 * 5 + x * 5) + -1(x + 10) = 11 (-20 + 5x) + -1(x + 10) = 11 Reorder the terms: -20 + 5x + -1(10 + x) = 11 -20 + 5x + (10 * -1 + x * -1) = 11 -20 + 5x + (-10 + -1x) = 11 Reorder the terms: -20 + -10 + 5x + -1x = 11 Combine like terms: -20 + -10 = -30 -30 + 5x + -1x = 11 Combine like terms: 5x + -1x = 4x -30 + 4x = 11 Solving -30 + 4x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 4x = 11 + 30 Combine like terms: -30 + 30 = 0 0 + 4x = 11 + 30 4x = 11 + 30 Combine like terms: 11 + 30 = 41 4x = 41 Divide each side by '4'. x = 10.25 Simplifying x = 10.25
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