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Simplifying 4(3x + -2) = 2(5x + -4) Reorder the terms: 4(-2 + 3x) = 2(5x + -4) (-2 * 4 + 3x * 4) = 2(5x + -4) (-8 + 12x) = 2(5x + -4) Reorder the terms: -8 + 12x = 2(-4 + 5x) -8 + 12x = (-4 * 2 + 5x * 2) -8 + 12x = (-8 + 10x) Add '8' to each side of the equation. -8 + 8 + 12x = -8 + 8 + 10x Combine like terms: -8 + 8 = 0 0 + 12x = -8 + 8 + 10x 12x = -8 + 8 + 10x Combine like terms: -8 + 8 = 0 12x = 0 + 10x 12x = 10x Solving 12x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12x + -10x = 10x + -10x Combine like terms: 12x + -10x = 2x 2x = 10x + -10x Combine like terms: 10x + -10x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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