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Simplifying 5(2x + 8) = 4(2x + 12) Reorder the terms: 5(8 + 2x) = 4(2x + 12) (8 * 5 + 2x * 5) = 4(2x + 12) (40 + 10x) = 4(2x + 12) Reorder the terms: 40 + 10x = 4(12 + 2x) 40 + 10x = (12 * 4 + 2x * 4) 40 + 10x = (48 + 8x) Solving 40 + 10x = 48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 40 + 10x + -8x = 48 + 8x + -8x Combine like terms: 10x + -8x = 2x 40 + 2x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + 2x = 48 + 0 40 + 2x = 48 Add '-40' to each side of the equation. 40 + -40 + 2x = 48 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 48 + -40 2x = 48 + -40 Combine like terms: 48 + -40 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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