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Simplifying 4(3x + 5) = 2(9x + -5) Reorder the terms: 4(5 + 3x) = 2(9x + -5) (5 * 4 + 3x * 4) = 2(9x + -5) (20 + 12x) = 2(9x + -5) Reorder the terms: 20 + 12x = 2(-5 + 9x) 20 + 12x = (-5 * 2 + 9x * 2) 20 + 12x = (-10 + 18x) Solving 20 + 12x = -10 + 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 = -10 + 18x + -18x Combine like terms: 12x + -18x = -6x 20 + -6x = -10 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -6x = -10 + 0 20 + -6x = -10 Add '-20' to each side of the equation. 20 + -20 + -6x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -10 + -20 -6x = -10 + -20 Combine like terms: -10 + -20 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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