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Simplifying 4(4x + 2) = 5x + 30 Reorder the terms: 4(2 + 4x) = 5x + 30 (2 * 4 + 4x * 4) = 5x + 30 (8 + 16x) = 5x + 30 Reorder the terms: 8 + 16x = 30 + 5x Solving 8 + 16x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 16x + -5x = 30 + 5x + -5x Combine like terms: 16x + -5x = 11x 8 + 11x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 11x = 30 + 0 8 + 11x = 30 Add '-8' to each side of the equation. 8 + -8 + 11x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 30 + -8 11x = 30 + -8 Combine like terms: 30 + -8 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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