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Simplifying 3(x + -2) + -4(x + 5) = 17 Reorder the terms: 3(-2 + x) + -4(x + 5) = 17 (-2 * 3 + x * 3) + -4(x + 5) = 17 (-6 + 3x) + -4(x + 5) = 17 Reorder the terms: -6 + 3x + -4(5 + x) = 17 -6 + 3x + (5 * -4 + x * -4) = 17 -6 + 3x + (-20 + -4x) = 17 Reorder the terms: -6 + -20 + 3x + -4x = 17 Combine like terms: -6 + -20 = -26 -26 + 3x + -4x = 17 Combine like terms: 3x + -4x = -1x -26 + -1x = 17 Solving -26 + -1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -1x = 17 + 26 Combine like terms: -26 + 26 = 0 0 + -1x = 17 + 26 -1x = 17 + 26 Combine like terms: 17 + 26 = 43 -1x = 43 Divide each side by '-1'. x = -43 Simplifying x = -43
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