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Simplifying 3(2x + -1) + -3(4 + -2x) = 6 Reorder the terms: 3(-1 + 2x) + -3(4 + -2x) = 6 (-1 * 3 + 2x * 3) + -3(4 + -2x) = 6 (-3 + 6x) + -3(4 + -2x) = 6 -3 + 6x + (4 * -3 + -2x * -3) = 6 -3 + 6x + (-12 + 6x) = 6 Reorder the terms: -3 + -12 + 6x + 6x = 6 Combine like terms: -3 + -12 = -15 -15 + 6x + 6x = 6 Combine like terms: 6x + 6x = 12x -15 + 12x = 6 Solving -15 + 12x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 12x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 6 + 15 12x = 6 + 15 Combine like terms: 6 + 15 = 21 12x = 21 Divide each side by '12'. x = 1.75 Simplifying x = 1.75
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