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Simplifying 5(2x + -4) = 2(3x + 6) Reorder the terms: 5(-4 + 2x) = 2(3x + 6) (-4 * 5 + 2x * 5) = 2(3x + 6) (-20 + 10x) = 2(3x + 6) Reorder the terms: -20 + 10x = 2(6 + 3x) -20 + 10x = (6 * 2 + 3x * 2) -20 + 10x = (12 + 6x) Solving -20 + 10x = 12 + 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 = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x -20 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 4x = 12 + 0 -20 + 4x = 12 Add '20' to each side of the equation. -20 + 20 + 4x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 12 + 20 4x = 12 + 20 Combine like terms: 12 + 20 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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