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Simplifying 5(x + -12) = 3x + -5 + 22 Reorder the terms: 5(-12 + x) = 3x + -5 + 22 (-12 * 5 + x * 5) = 3x + -5 + 22 (-60 + 5x) = 3x + -5 + 22 Reorder the terms: -60 + 5x = -5 + 22 + 3x Combine like terms: -5 + 22 = 17 -60 + 5x = 17 + 3x Solving -60 + 5x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -60 + 5x + -3x = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x -60 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -60 + 2x = 17 + 0 -60 + 2x = 17 Add '60' to each side of the equation. -60 + 60 + 2x = 17 + 60 Combine like terms: -60 + 60 = 0 0 + 2x = 17 + 60 2x = 17 + 60 Combine like terms: 17 + 60 = 77 2x = 77 Divide each side by '2'. x = 38.5 Simplifying x = 38.5
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