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Simplifying 5(2x + 4) = 4(3x + 2) Reorder the terms: 5(4 + 2x) = 4(3x + 2) (4 * 5 + 2x * 5) = 4(3x + 2) (20 + 10x) = 4(3x + 2) Reorder the terms: 20 + 10x = 4(2 + 3x) 20 + 10x = (2 * 4 + 3x * 4) 20 + 10x = (8 + 12x) Solving 20 + 10x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + 10x + -12x = 8 + 12x + -12x Combine like terms: 10x + -12x = -2x 20 + -2x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -2x = 8 + 0 20 + -2x = 8 Add '-20' to each side of the equation. 20 + -20 + -2x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 8 + -20 -2x = 8 + -20 Combine like terms: 8 + -20 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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