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Simplifying 4(5x + -2) = 2(3x + -4) Reorder the terms: 4(-2 + 5x) = 2(3x + -4) (-2 * 4 + 5x * 4) = 2(3x + -4) (-8 + 20x) = 2(3x + -4) Reorder the terms: -8 + 20x = 2(-4 + 3x) -8 + 20x = (-4 * 2 + 3x * 2) -8 + 20x = (-8 + 6x) Add '8' to each side of the equation. -8 + 8 + 20x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + 20x = -8 + 8 + 6x 20x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 20x = 0 + 6x 20x = 6x Solving 20x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20x + -6x = 6x + -6x Combine like terms: 20x + -6x = 14x 14x = 6x + -6x Combine like terms: 6x + -6x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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