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Simplifying 5(4x + 2) = 4(8x + 2) Reorder the terms: 5(2 + 4x) = 4(8x + 2) (2 * 5 + 4x * 5) = 4(8x + 2) (10 + 20x) = 4(8x + 2) Reorder the terms: 10 + 20x = 4(2 + 8x) 10 + 20x = (2 * 4 + 8x * 4) 10 + 20x = (8 + 32x) Solving 10 + 20x = 8 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 10 + 20x + -32x = 8 + 32x + -32x Combine like terms: 20x + -32x = -12x 10 + -12x = 8 + 32x + -32x Combine like terms: 32x + -32x = 0 10 + -12x = 8 + 0 10 + -12x = 8 Add '-10' to each side of the equation. 10 + -10 + -12x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = 8 + -10 -12x = 8 + -10 Combine like terms: 8 + -10 = -2 -12x = -2 Divide each side by '-12'. x = 0.1666666667 Simplifying x = 0.1666666667
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