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Simplifying 13(4x + 9) = 11(3x + 12) Reorder the terms: 13(9 + 4x) = 11(3x + 12) (9 * 13 + 4x * 13) = 11(3x + 12) (117 + 52x) = 11(3x + 12) Reorder the terms: 117 + 52x = 11(12 + 3x) 117 + 52x = (12 * 11 + 3x * 11) 117 + 52x = (132 + 33x) Solving 117 + 52x = 132 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 117 + 52x + -33x = 132 + 33x + -33x Combine like terms: 52x + -33x = 19x 117 + 19x = 132 + 33x + -33x Combine like terms: 33x + -33x = 0 117 + 19x = 132 + 0 117 + 19x = 132 Add '-117' to each side of the equation. 117 + -117 + 19x = 132 + -117 Combine like terms: 117 + -117 = 0 0 + 19x = 132 + -117 19x = 132 + -117 Combine like terms: 132 + -117 = 15 19x = 15 Divide each side by '19'. x = 0.7894736842 Simplifying x = 0.7894736842
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