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Simplifying 5(2x + -4) = 2(3x + 4) Reorder the terms: 5(-4 + 2x) = 2(3x + 4) (-4 * 5 + 2x * 5) = 2(3x + 4) (-20 + 10x) = 2(3x + 4) Reorder the terms: -20 + 10x = 2(4 + 3x) -20 + 10x = (4 * 2 + 3x * 2) -20 + 10x = (8 + 6x) Solving -20 + 10x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 10x + -6x = 8 + 6x + -6x Combine like terms: 10x + -6x = 4x -20 + 4x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 4x = 8 + 0 -20 + 4x = 8 Add '20' to each side of the equation. -20 + 20 + 4x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 8 + 20 4x = 8 + 20 Combine like terms: 8 + 20 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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