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Simplifying 4x + 24 = 9(x + 1) Reorder the terms: 24 + 4x = 9(x + 1) Reorder the terms: 24 + 4x = 9(1 + x) 24 + 4x = (1 * 9 + x * 9) 24 + 4x = (9 + 9x) Solving 24 + 4x = 9 + 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. 24 + 4x + -9x = 9 + 9x + -9x Combine like terms: 4x + -9x = -5x 24 + -5x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -5x = 9 + 0 24 + -5x = 9 Add '-24' to each side of the equation. 24 + -24 + -5x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 9 + -24 -5x = 9 + -24 Combine like terms: 9 + -24 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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