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Simplifying 2(5x + -4) = 5x + 7 Reorder the terms: 2(-4 + 5x) = 5x + 7 (-4 * 2 + 5x * 2) = 5x + 7 (-8 + 10x) = 5x + 7 Reorder the terms: -8 + 10x = 7 + 5x Solving -8 + 10x = 7 + 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 = 7 + 5x + -5x Combine like terms: 10x + -5x = 5x -8 + 5x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 5x = 7 + 0 -8 + 5x = 7 Add '8' to each side of the equation. -8 + 8 + 5x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 7 + 8 5x = 7 + 8 Combine like terms: 7 + 8 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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