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Simplifying 4(3x + -5) = 5x + 2(2x + 15) Reorder the terms: 4(-5 + 3x) = 5x + 2(2x + 15) (-5 * 4 + 3x * 4) = 5x + 2(2x + 15) (-20 + 12x) = 5x + 2(2x + 15) Reorder the terms: -20 + 12x = 5x + 2(15 + 2x) -20 + 12x = 5x + (15 * 2 + 2x * 2) -20 + 12x = 5x + (30 + 4x) Reorder the terms: -20 + 12x = 30 + 5x + 4x Combine like terms: 5x + 4x = 9x -20 + 12x = 30 + 9x Solving -20 + 12x = 30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -20 + 12x + -9x = 30 + 9x + -9x Combine like terms: 12x + -9x = 3x -20 + 3x = 30 + 9x + -9x Combine like terms: 9x + -9x = 0 -20 + 3x = 30 + 0 -20 + 3x = 30 Add '20' to each side of the equation. -20 + 20 + 3x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 30 + 20 3x = 30 + 20 Combine like terms: 30 + 20 = 50 3x = 50 Divide each side by '3'. x = 16.66666667 Simplifying x = 16.66666667
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