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Simplifying 4(2x + 3) = 9(3x + -3) Reorder the terms: 4(3 + 2x) = 9(3x + -3) (3 * 4 + 2x * 4) = 9(3x + -3) (12 + 8x) = 9(3x + -3) Reorder the terms: 12 + 8x = 9(-3 + 3x) 12 + 8x = (-3 * 9 + 3x * 9) 12 + 8x = (-27 + 27x) Solving 12 + 8x = -27 + 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 = -27 + 27x + -27x Combine like terms: 8x + -27x = -19x 12 + -19x = -27 + 27x + -27x Combine like terms: 27x + -27x = 0 12 + -19x = -27 + 0 12 + -19x = -27 Add '-12' to each side of the equation. 12 + -12 + -19x = -27 + -12 Combine like terms: 12 + -12 = 0 0 + -19x = -27 + -12 -19x = -27 + -12 Combine like terms: -27 + -12 = -39 -19x = -39 Divide each side by '-19'. x = 2.052631579 Simplifying x = 2.052631579
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