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Simplifying 6(2x + -2) + -3(2x + -3) = 3 Reorder the terms: 6(-2 + 2x) + -3(2x + -3) = 3 (-2 * 6 + 2x * 6) + -3(2x + -3) = 3 (-12 + 12x) + -3(2x + -3) = 3 Reorder the terms: -12 + 12x + -3(-3 + 2x) = 3 -12 + 12x + (-3 * -3 + 2x * -3) = 3 -12 + 12x + (9 + -6x) = 3 Reorder the terms: -12 + 9 + 12x + -6x = 3 Combine like terms: -12 + 9 = -3 -3 + 12x + -6x = 3 Combine like terms: 12x + -6x = 6x -3 + 6x = 3 Solving -3 + 6x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 6x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 3 + 3 6x = 3 + 3 Combine like terms: 3 + 3 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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