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Simplifying 4(2x + 1) = 5x + 2x + 28 Reorder the terms: 4(1 + 2x) = 5x + 2x + 28 (1 * 4 + 2x * 4) = 5x + 2x + 28 (4 + 8x) = 5x + 2x + 28 Reorder the terms: 4 + 8x = 28 + 5x + 2x Combine like terms: 5x + 2x = 7x 4 + 8x = 28 + 7x Solving 4 + 8x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 8x + -7x = 28 + 7x + -7x Combine like terms: 8x + -7x = 1x 4 + 1x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 1x = 28 + 0 4 + 1x = 28 Add '-4' to each side of the equation. 4 + -4 + 1x = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 28 + -4 1x = 28 + -4 Combine like terms: 28 + -4 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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