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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 = 82x -100 + 82x = -264 + -22x + 22x Combine like terms: -22x + 22x = 0 -100 + 82x = -264 + 0 -100 + 82x = -264 Add '100' to each side of the equation. -100 + 100 + 82x = -264 + 100 Combine like terms: -100 + 100 = 0 0 + 82x = -264 + 100 82x = -264 + 100 Combine like terms: -264 + 100 = -164 82x = -164 Divide each side by '82'. x = -2 Simplifying x = -2
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