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Simplifying 2(5x + -4) = 40 + -2x Reorder the terms: 2(-4 + 5x) = 40 + -2x (-4 * 2 + 5x * 2) = 40 + -2x (-8 + 10x) = 40 + -2x Solving -8 + 10x = 40 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 10x + 2x = 40 + -2x + 2x Combine like terms: 10x + 2x = 12x -8 + 12x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 12x = 40 + 0 -8 + 12x = 40 Add '8' to each side of the equation. -8 + 8 + 12x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 40 + 8 12x = 40 + 8 Combine like terms: 40 + 8 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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