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Simplifying 2x + 4(5 + -3x) = 3(9x + -5) 2x + (5 * 4 + -3x * 4) = 3(9x + -5) 2x + (20 + -12x) = 3(9x + -5) Reorder the terms: 20 + 2x + -12x = 3(9x + -5) Combine like terms: 2x + -12x = -10x 20 + -10x = 3(9x + -5) Reorder the terms: 20 + -10x = 3(-5 + 9x) 20 + -10x = (-5 * 3 + 9x * 3) 20 + -10x = (-15 + 27x) Solving 20 + -10x = -15 + 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. 20 + -10x + -27x = -15 + 27x + -27x Combine like terms: -10x + -27x = -37x 20 + -37x = -15 + 27x + -27x Combine like terms: 27x + -27x = 0 20 + -37x = -15 + 0 20 + -37x = -15 Add '-20' to each side of the equation. 20 + -20 + -37x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -37x = -15 + -20 -37x = -15 + -20 Combine like terms: -15 + -20 = -35 -37x = -35 Divide each side by '-37'. x = 0.9459459459 Simplifying x = 0.9459459459
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