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Simplifying 3(x + -4) + -1(5 + 2x) = 22 Reorder the terms: 3(-4 + x) + -1(5 + 2x) = 22 (-4 * 3 + x * 3) + -1(5 + 2x) = 22 (-12 + 3x) + -1(5 + 2x) = 22 -12 + 3x + (5 * -1 + 2x * -1) = 22 -12 + 3x + (-5 + -2x) = 22 Reorder the terms: -12 + -5 + 3x + -2x = 22 Combine like terms: -12 + -5 = -17 -17 + 3x + -2x = 22 Combine like terms: 3x + -2x = 1x -17 + 1x = 22 Solving -17 + 1x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1x = 22 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 22 + 17 1x = 22 + 17 Combine like terms: 22 + 17 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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