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Simplifying 4(2x + 8) = 5(2x + 4) Reorder the terms: 4(8 + 2x) = 5(2x + 4) (8 * 4 + 2x * 4) = 5(2x + 4) (32 + 8x) = 5(2x + 4) Reorder the terms: 32 + 8x = 5(4 + 2x) 32 + 8x = (4 * 5 + 2x * 5) 32 + 8x = (20 + 10x) Solving 32 + 8x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 32 + 8x + -10x = 20 + 10x + -10x Combine like terms: 8x + -10x = -2x 32 + -2x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + -2x = 20 + 0 32 + -2x = 20 Add '-32' to each side of the equation. 32 + -32 + -2x = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -2x = 20 + -32 -2x = 20 + -32 Combine like terms: 20 + -32 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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