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Simplifying 2(3x + -2) + -3(x + 1) = 3 Reorder the terms: 2(-2 + 3x) + -3(x + 1) = 3 (-2 * 2 + 3x * 2) + -3(x + 1) = 3 (-4 + 6x) + -3(x + 1) = 3 Reorder the terms: -4 + 6x + -3(1 + x) = 3 -4 + 6x + (1 * -3 + x * -3) = 3 -4 + 6x + (-3 + -3x) = 3 Reorder the terms: -4 + -3 + 6x + -3x = 3 Combine like terms: -4 + -3 = -7 -7 + 6x + -3x = 3 Combine like terms: 6x + -3x = 3x -7 + 3x = 3 Solving -7 + 3x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 3 + 7 3x = 3 + 7 Combine like terms: 3 + 7 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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