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Simplifying 14 + 5(x + -20) = 3(x + -2) Reorder the terms: 14 + 5(-20 + x) = 3(x + -2) 14 + (-20 * 5 + x * 5) = 3(x + -2) 14 + (-100 + 5x) = 3(x + -2) Combine like terms: 14 + -100 = -86 -86 + 5x = 3(x + -2) Reorder the terms: -86 + 5x = 3(-2 + x) -86 + 5x = (-2 * 3 + x * 3) -86 + 5x = (-6 + 3x) Solving -86 + 5x = -6 + 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. -86 + 5x + -3x = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x -86 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -86 + 2x = -6 + 0 -86 + 2x = -6 Add '86' to each side of the equation. -86 + 86 + 2x = -6 + 86 Combine like terms: -86 + 86 = 0 0 + 2x = -6 + 86 2x = -6 + 86 Combine like terms: -6 + 86 = 80 2x = 80 Divide each side by '2'. x = 40 Simplifying x = 40
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