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Simplifying 5(3x + -4) + -3x + -2 = 14 Reorder the terms: 5(-4 + 3x) + -3x + -2 = 14 (-4 * 5 + 3x * 5) + -3x + -2 = 14 (-20 + 15x) + -3x + -2 = 14 Reorder the terms: -20 + -2 + 15x + -3x = 14 Combine like terms: -20 + -2 = -22 -22 + 15x + -3x = 14 Combine like terms: 15x + -3x = 12x -22 + 12x = 14 Solving -22 + 12x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 12x = 14 + 22 Combine like terms: -22 + 22 = 0 0 + 12x = 14 + 22 12x = 14 + 22 Combine like terms: 14 + 22 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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