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Simplifying 2x + -2(4 + -9x) = 6(8x + 2) 2x + (4 * -2 + -9x * -2) = 6(8x + 2) 2x + (-8 + 18x) = 6(8x + 2) Reorder the terms: -8 + 2x + 18x = 6(8x + 2) Combine like terms: 2x + 18x = 20x -8 + 20x = 6(8x + 2) Reorder the terms: -8 + 20x = 6(2 + 8x) -8 + 20x = (2 * 6 + 8x * 6) -8 + 20x = (12 + 48x) Solving -8 + 20x = 12 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -8 + 20x + -48x = 12 + 48x + -48x Combine like terms: 20x + -48x = -28x -8 + -28x = 12 + 48x + -48x Combine like terms: 48x + -48x = 0 -8 + -28x = 12 + 0 -8 + -28x = 12 Add '8' to each side of the equation. -8 + 8 + -28x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -28x = 12 + 8 -28x = 12 + 8 Combine like terms: 12 + 8 = 20 -28x = 20 Divide each side by '-28'. x = -0.7142857143 Simplifying x = -0.7142857143
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