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Simplifying 4(3x + 5) = 2(9x + 16) Reorder the terms: 4(5 + 3x) = 2(9x + 16) (5 * 4 + 3x * 4) = 2(9x + 16) (20 + 12x) = 2(9x + 16) Reorder the terms: 20 + 12x = 2(16 + 9x) 20 + 12x = (16 * 2 + 9x * 2) 20 + 12x = (32 + 18x) Solving 20 + 12x = 32 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 20 + 12x + -18x = 32 + 18x + -18x Combine like terms: 12x + -18x = -6x 20 + -6x = 32 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -6x = 32 + 0 20 + -6x = 32 Add '-20' to each side of the equation. 20 + -20 + -6x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = 32 + -20 -6x = 32 + -20 Combine like terms: 32 + -20 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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