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Simplifying 5(x + -8) + 2(x + -9) = 19 Reorder the terms: 5(-8 + x) + 2(x + -9) = 19 (-8 * 5 + x * 5) + 2(x + -9) = 19 (-40 + 5x) + 2(x + -9) = 19 Reorder the terms: -40 + 5x + 2(-9 + x) = 19 -40 + 5x + (-9 * 2 + x * 2) = 19 -40 + 5x + (-18 + 2x) = 19 Reorder the terms: -40 + -18 + 5x + 2x = 19 Combine like terms: -40 + -18 = -58 -58 + 5x + 2x = 19 Combine like terms: 5x + 2x = 7x -58 + 7x = 19 Solving -58 + 7x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 7x = 19 + 58 Combine like terms: -58 + 58 = 0 0 + 7x = 19 + 58 7x = 19 + 58 Combine like terms: 19 + 58 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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