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Simplifying 2(2x + 20) = 8x + 38 Reorder the terms: 2(20 + 2x) = 8x + 38 (20 * 2 + 2x * 2) = 8x + 38 (40 + 4x) = 8x + 38 Reorder the terms: 40 + 4x = 38 + 8x Solving 40 + 4x = 38 + 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 + 4x + -8x = 38 + 8x + -8x Combine like terms: 4x + -8x = -4x 40 + -4x = 38 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + -4x = 38 + 0 40 + -4x = 38 Add '-40' to each side of the equation. 40 + -40 + -4x = 38 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 38 + -40 -4x = 38 + -40 Combine like terms: 38 + -40 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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