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Simplifying 2(5x + -4) = 12 + -5x Reorder the terms: 2(-4 + 5x) = 12 + -5x (-4 * 2 + 5x * 2) = 12 + -5x (-8 + 10x) = 12 + -5x Solving -8 + 10x = 12 + -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 + 10x + 5x = 12 + -5x + 5x Combine like terms: 10x + 5x = 15x -8 + 15x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 15x = 12 + 0 -8 + 15x = 12 Add '8' to each side of the equation. -8 + 8 + 15x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 12 + 8 15x = 12 + 8 Combine like terms: 12 + 8 = 20 15x = 20 Divide each side by '15'. x = 1.333333333 Simplifying x = 1.333333333
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