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Simplifying 5(2x + -4) = -3x + 14 + -4x Reorder the terms: 5(-4 + 2x) = -3x + 14 + -4x (-4 * 5 + 2x * 5) = -3x + 14 + -4x (-20 + 10x) = -3x + 14 + -4x Reorder the terms: -20 + 10x = 14 + -3x + -4x Combine like terms: -3x + -4x = -7x -20 + 10x = 14 + -7x Solving -20 + 10x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -20 + 10x + 7x = 14 + -7x + 7x Combine like terms: 10x + 7x = 17x -20 + 17x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 17x = 14 + 0 -20 + 17x = 14 Add '20' to each side of the equation. -20 + 20 + 17x = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 17x = 14 + 20 17x = 14 + 20 Combine like terms: 14 + 20 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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