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Simplifying 2(-4 + 6x) = 3x + 2(x + 9) (-4 * 2 + 6x * 2) = 3x + 2(x + 9) (-8 + 12x) = 3x + 2(x + 9) Reorder the terms: -8 + 12x = 3x + 2(9 + x) -8 + 12x = 3x + (9 * 2 + x * 2) -8 + 12x = 3x + (18 + 2x) Reorder the terms: -8 + 12x = 18 + 3x + 2x Combine like terms: 3x + 2x = 5x -8 + 12x = 18 + 5x Solving -8 + 12x = 18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 12x + -5x = 18 + 5x + -5x Combine like terms: 12x + -5x = 7x -8 + 7x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 7x = 18 + 0 -8 + 7x = 18 Add '8' to each side of the equation. -8 + 8 + 7x = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 18 + 8 7x = 18 + 8 Combine like terms: 18 + 8 = 26 7x = 26 Divide each side by '7'. x = 3.714285714 Simplifying x = 3.714285714
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