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Simplifying 4(2x + 1) = 9x + 24 Reorder the terms: 4(1 + 2x) = 9x + 24 (1 * 4 + 2x * 4) = 9x + 24 (4 + 8x) = 9x + 24 Reorder the terms: 4 + 8x = 24 + 9x Solving 4 + 8x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 8x + -9x = 24 + 9x + -9x Combine like terms: 8x + -9x = -1x 4 + -1x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -1x = 24 + 0 4 + -1x = 24 Add '-4' to each side of the equation. 4 + -4 + -1x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 24 + -4 -1x = 24 + -4 Combine like terms: 24 + -4 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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