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Simplifying 4(3x + -5) + 3x = 3x + 5 + 6 Reorder the terms: 4(-5 + 3x) + 3x = 3x + 5 + 6 (-5 * 4 + 3x * 4) + 3x = 3x + 5 + 6 (-20 + 12x) + 3x = 3x + 5 + 6 Combine like terms: 12x + 3x = 15x -20 + 15x = 3x + 5 + 6 Reorder the terms: -20 + 15x = 5 + 6 + 3x Combine like terms: 5 + 6 = 11 -20 + 15x = 11 + 3x Solving -20 + 15x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 15x + -3x = 11 + 3x + -3x Combine like terms: 15x + -3x = 12x -20 + 12x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 12x = 11 + 0 -20 + 12x = 11 Add '20' to each side of the equation. -20 + 20 + 12x = 11 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 11 + 20 12x = 11 + 20 Combine like terms: 11 + 20 = 31 12x = 31 Divide each side by '12'. x = 2.583333333 Simplifying x = 2.583333333
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