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Simplifying 2(6x + -2) = -3(4x + -3) Reorder the terms: 2(-2 + 6x) = -3(4x + -3) (-2 * 2 + 6x * 2) = -3(4x + -3) (-4 + 12x) = -3(4x + -3) Reorder the terms: -4 + 12x = -3(-3 + 4x) -4 + 12x = (-3 * -3 + 4x * -3) -4 + 12x = (9 + -12x) Solving -4 + 12x = 9 + -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. -4 + 12x + 12x = 9 + -12x + 12x Combine like terms: 12x + 12x = 24x -4 + 24x = 9 + -12x + 12x Combine like terms: -12x + 12x = 0 -4 + 24x = 9 + 0 -4 + 24x = 9 Add '4' to each side of the equation. -4 + 4 + 24x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 24x = 9 + 4 24x = 9 + 4 Combine like terms: 9 + 4 = 13 24x = 13 Divide each side by '24'. x = 0.5416666667 Simplifying x = 0.5416666667
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