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Simplifying 9x + 6 = 24 + 3(x + 8) Reorder the terms: 6 + 9x = 24 + 3(x + 8) Reorder the terms: 6 + 9x = 24 + 3(8 + x) 6 + 9x = 24 + (8 * 3 + x * 3) 6 + 9x = 24 + (24 + 3x) Combine like terms: 24 + 24 = 48 6 + 9x = 48 + 3x Solving 6 + 9x = 48 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 9x + -3x = 48 + 3x + -3x Combine like terms: 9x + -3x = 6x 6 + 6x = 48 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 6x = 48 + 0 6 + 6x = 48 Add '-6' to each side of the equation. 6 + -6 + 6x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 48 + -6 6x = 48 + -6 Combine like terms: 48 + -6 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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