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Simplifying 20(3x + -5) = 22(x + 12) Reorder the terms: 20(-5 + 3x) = 22(x + 12) (-5 * 20 + 3x * 20) = 22(x + 12) (-100 + 60x) = 22(x + 12) Reorder the terms: -100 + 60x = 22(12 + x) -100 + 60x = (12 * 22 + x * 22) -100 + 60x = (264 + 22x) Solving -100 + 60x = 264 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -100 + 60x + -22x = 264 + 22x + -22x Combine like terms: 60x + -22x = 38x -100 + 38x = 264 + 22x + -22x Combine like terms: 22x + -22x = 0 -100 + 38x = 264 + 0 -100 + 38x = 264 Add '100' to each side of the equation. -100 + 100 + 38x = 264 + 100 Combine like terms: -100 + 100 = 0 0 + 38x = 264 + 100 38x = 264 + 100 Combine like terms: 264 + 100 = 364 38x = 364 Divide each side by '38'. x = 9.578947368 Simplifying x = 9.578947368
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