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Simplifying 2(3x + -4) = 2(5 + -6x) Reorder the terms: 2(-4 + 3x) = 2(5 + -6x) (-4 * 2 + 3x * 2) = 2(5 + -6x) (-8 + 6x) = 2(5 + -6x) -8 + 6x = (5 * 2 + -6x * 2) -8 + 6x = (10 + -12x) Solving -8 + 6x = 10 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -8 + 6x + 12x = 10 + -12x + 12x Combine like terms: 6x + 12x = 18x -8 + 18x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 18x = 10 + 0 -8 + 18x = 10 Add '8' to each side of the equation. -8 + 8 + 18x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = 10 + 8 18x = 10 + 8 Combine like terms: 10 + 8 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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