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Simplifying 5(x + -2) + 8(x + -5) = -11 Reorder the terms: 5(-2 + x) + 8(x + -5) = -11 (-2 * 5 + x * 5) + 8(x + -5) = -11 (-10 + 5x) + 8(x + -5) = -11 Reorder the terms: -10 + 5x + 8(-5 + x) = -11 -10 + 5x + (-5 * 8 + x * 8) = -11 -10 + 5x + (-40 + 8x) = -11 Reorder the terms: -10 + -40 + 5x + 8x = -11 Combine like terms: -10 + -40 = -50 -50 + 5x + 8x = -11 Combine like terms: 5x + 8x = 13x -50 + 13x = -11 Solving -50 + 13x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 13x = -11 + 50 Combine like terms: -50 + 50 = 0 0 + 13x = -11 + 50 13x = -11 + 50 Combine like terms: -11 + 50 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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