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Simplifying 4(2x + 3) = 9(3x + 5) Reorder the terms: 4(3 + 2x) = 9(3x + 5) (3 * 4 + 2x * 4) = 9(3x + 5) (12 + 8x) = 9(3x + 5) Reorder the terms: 12 + 8x = 9(5 + 3x) 12 + 8x = (5 * 9 + 3x * 9) 12 + 8x = (45 + 27x) Solving 12 + 8x = 45 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 12 + 8x + -27x = 45 + 27x + -27x Combine like terms: 8x + -27x = -19x 12 + -19x = 45 + 27x + -27x Combine like terms: 27x + -27x = 0 12 + -19x = 45 + 0 12 + -19x = 45 Add '-12' to each side of the equation. 12 + -12 + -19x = 45 + -12 Combine like terms: 12 + -12 = 0 0 + -19x = 45 + -12 -19x = 45 + -12 Combine like terms: 45 + -12 = 33 -19x = 33 Divide each side by '-19'. x = -1.736842105 Simplifying x = -1.736842105
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