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Simplifying 5(2x + -4) = 11x + 14 + 9x Reorder the terms: 5(-4 + 2x) = 11x + 14 + 9x (-4 * 5 + 2x * 5) = 11x + 14 + 9x (-20 + 10x) = 11x + 14 + 9x Reorder the terms: -20 + 10x = 14 + 11x + 9x Combine like terms: 11x + 9x = 20x -20 + 10x = 14 + 20x Solving -20 + 10x = 14 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -20 + 10x + -20x = 14 + 20x + -20x Combine like terms: 10x + -20x = -10x -20 + -10x = 14 + 20x + -20x Combine like terms: 20x + -20x = 0 -20 + -10x = 14 + 0 -20 + -10x = 14 Add '20' to each side of the equation. -20 + 20 + -10x = 14 + 20 Combine like terms: -20 + 20 = 0 0 + -10x = 14 + 20 -10x = 14 + 20 Combine like terms: 14 + 20 = 34 -10x = 34 Divide each side by '-10'. x = -3.4 Simplifying x = -3.4
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