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Simplifying 9(2x + 3) = 8(3x + 1) + 5 Reorder the terms: 9(3 + 2x) = 8(3x + 1) + 5 (3 * 9 + 2x * 9) = 8(3x + 1) + 5 (27 + 18x) = 8(3x + 1) + 5 Reorder the terms: 27 + 18x = 8(1 + 3x) + 5 27 + 18x = (1 * 8 + 3x * 8) + 5 27 + 18x = (8 + 24x) + 5 Reorder the terms: 27 + 18x = 8 + 5 + 24x Combine like terms: 8 + 5 = 13 27 + 18x = 13 + 24x Solving 27 + 18x = 13 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 27 + 18x + -24x = 13 + 24x + -24x Combine like terms: 18x + -24x = -6x 27 + -6x = 13 + 24x + -24x Combine like terms: 24x + -24x = 0 27 + -6x = 13 + 0 27 + -6x = 13 Add '-27' to each side of the equation. 27 + -27 + -6x = 13 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = 13 + -27 -6x = 13 + -27 Combine like terms: 13 + -27 = -14 -6x = -14 Divide each side by '-6'. x = 2.333333333 Simplifying x = 2.333333333
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