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Simplifying 2(6x + -4) = 4(5x + 3) Reorder the terms: 2(-4 + 6x) = 4(5x + 3) (-4 * 2 + 6x * 2) = 4(5x + 3) (-8 + 12x) = 4(5x + 3) Reorder the terms: -8 + 12x = 4(3 + 5x) -8 + 12x = (3 * 4 + 5x * 4) -8 + 12x = (12 + 20x) Solving -8 + 12x = 12 + 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. -8 + 12x + -20x = 12 + 20x + -20x Combine like terms: 12x + -20x = -8x -8 + -8x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 -8 + -8x = 12 + 0 -8 + -8x = 12 Add '8' to each side of the equation. -8 + 8 + -8x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 12 + 8 -8x = 12 + 8 Combine like terms: 12 + 8 = 20 -8x = 20 Divide each side by '-8'. x = -2.5 Simplifying x = -2.5
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