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Simplifying 6x + 9 = 5(x + 6) + 3 Reorder the terms: 9 + 6x = 5(x + 6) + 3 Reorder the terms: 9 + 6x = 5(6 + x) + 3 9 + 6x = (6 * 5 + x * 5) + 3 9 + 6x = (30 + 5x) + 3 Reorder the terms: 9 + 6x = 30 + 3 + 5x Combine like terms: 30 + 3 = 33 9 + 6x = 33 + 5x Solving 9 + 6x = 33 + 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. 9 + 6x + -5x = 33 + 5x + -5x Combine like terms: 6x + -5x = 1x 9 + 1x = 33 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 1x = 33 + 0 9 + 1x = 33 Add '-9' to each side of the equation. 9 + -9 + 1x = 33 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 33 + -9 1x = 33 + -9 Combine like terms: 33 + -9 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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