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Simplifying 4(3x + 2) = 5(6x + 9) Reorder the terms: 4(2 + 3x) = 5(6x + 9) (2 * 4 + 3x * 4) = 5(6x + 9) (8 + 12x) = 5(6x + 9) Reorder the terms: 8 + 12x = 5(9 + 6x) 8 + 12x = (9 * 5 + 6x * 5) 8 + 12x = (45 + 30x) Solving 8 + 12x = 45 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 8 + 12x + -30x = 45 + 30x + -30x Combine like terms: 12x + -30x = -18x 8 + -18x = 45 + 30x + -30x Combine like terms: 30x + -30x = 0 8 + -18x = 45 + 0 8 + -18x = 45 Add '-8' to each side of the equation. 8 + -8 + -18x = 45 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = 45 + -8 -18x = 45 + -8 Combine like terms: 45 + -8 = 37 -18x = 37 Divide each side by '-18'. x = -2.055555556 Simplifying x = -2.055555556
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