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Simplifying 4x + 4(2x + 5) = 8x + 2(4x + 2) Reorder the terms: 4x + 4(5 + 2x) = 8x + 2(4x + 2) 4x + (5 * 4 + 2x * 4) = 8x + 2(4x + 2) 4x + (20 + 8x) = 8x + 2(4x + 2) Reorder the terms: 20 + 4x + 8x = 8x + 2(4x + 2) Combine like terms: 4x + 8x = 12x 20 + 12x = 8x + 2(4x + 2) Reorder the terms: 20 + 12x = 8x + 2(2 + 4x) 20 + 12x = 8x + (2 * 2 + 4x * 2) 20 + 12x = 8x + (4 + 8x) Reorder the terms: 20 + 12x = 4 + 8x + 8x Combine like terms: 8x + 8x = 16x 20 + 12x = 4 + 16x Solving 20 + 12x = 4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 20 + 12x + -16x = 4 + 16x + -16x Combine like terms: 12x + -16x = -4x 20 + -4x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 20 + -4x = 4 + 0 20 + -4x = 4 Add '-20' to each side of the equation. 20 + -20 + -4x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 4 + -20 -4x = 4 + -20 Combine like terms: 4 + -20 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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