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Simplifying 2(5x + -4) = 7x + 2 Reorder the terms: 2(-4 + 5x) = 7x + 2 (-4 * 2 + 5x * 2) = 7x + 2 (-8 + 10x) = 7x + 2 Reorder the terms: -8 + 10x = 2 + 7x Solving -8 + 10x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 10x + -7x = 2 + 7x + -7x Combine like terms: 10x + -7x = 3x -8 + 3x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 3x = 2 + 0 -8 + 3x = 2 Add '8' to each side of the equation. -8 + 8 + 3x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 2 + 8 3x = 2 + 8 Combine like terms: 2 + 8 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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