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Simplifying 2 + 4(5x + -6) = 9 + -4(2x + 1) Reorder the terms: 2 + 4(-6 + 5x) = 9 + -4(2x + 1) 2 + (-6 * 4 + 5x * 4) = 9 + -4(2x + 1) 2 + (-24 + 20x) = 9 + -4(2x + 1) Combine like terms: 2 + -24 = -22 -22 + 20x = 9 + -4(2x + 1) Reorder the terms: -22 + 20x = 9 + -4(1 + 2x) -22 + 20x = 9 + (1 * -4 + 2x * -4) -22 + 20x = 9 + (-4 + -8x) Combine like terms: 9 + -4 = 5 -22 + 20x = 5 + -8x Solving -22 + 20x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -22 + 20x + 8x = 5 + -8x + 8x Combine like terms: 20x + 8x = 28x -22 + 28x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -22 + 28x = 5 + 0 -22 + 28x = 5 Add '22' to each side of the equation. -22 + 22 + 28x = 5 + 22 Combine like terms: -22 + 22 = 0 0 + 28x = 5 + 22 28x = 5 + 22 Combine like terms: 5 + 22 = 27 28x = 27 Divide each side by '28'. x = 0.9642857143 Simplifying x = 0.9642857143
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