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Simplifying 9(2x + 3) = 19x + 9 Reorder the terms: 9(3 + 2x) = 19x + 9 (3 * 9 + 2x * 9) = 19x + 9 (27 + 18x) = 19x + 9 Reorder the terms: 27 + 18x = 9 + 19x Solving 27 + 18x = 9 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 27 + 18x + -19x = 9 + 19x + -19x Combine like terms: 18x + -19x = -1x 27 + -1x = 9 + 19x + -19x Combine like terms: 19x + -19x = 0 27 + -1x = 9 + 0 27 + -1x = 9 Add '-27' to each side of the equation. 27 + -27 + -1x = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 9 + -27 -1x = 9 + -27 Combine like terms: 9 + -27 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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