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Simplifying 8(2x + -9) = 20 + -12x Reorder the terms: 8(-9 + 2x) = 20 + -12x (-9 * 8 + 2x * 8) = 20 + -12x (-72 + 16x) = 20 + -12x Solving -72 + 16x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -72 + 16x + 12x = 20 + -12x + 12x Combine like terms: 16x + 12x = 28x -72 + 28x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 -72 + 28x = 20 + 0 -72 + 28x = 20 Add '72' to each side of the equation. -72 + 72 + 28x = 20 + 72 Combine like terms: -72 + 72 = 0 0 + 28x = 20 + 72 28x = 20 + 72 Combine like terms: 20 + 72 = 92 28x = 92 Divide each side by '28'. x = 3.285714286 Simplifying x = 3.285714286
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