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Simplifying 3(2x + -1) + -2(x + -2) = 6 Reorder the terms: 3(-1 + 2x) + -2(x + -2) = 6 (-1 * 3 + 2x * 3) + -2(x + -2) = 6 (-3 + 6x) + -2(x + -2) = 6 Reorder the terms: -3 + 6x + -2(-2 + x) = 6 -3 + 6x + (-2 * -2 + x * -2) = 6 -3 + 6x + (4 + -2x) = 6 Reorder the terms: -3 + 4 + 6x + -2x = 6 Combine like terms: -3 + 4 = 1 1 + 6x + -2x = 6 Combine like terms: 6x + -2x = 4x 1 + 4x = 6 Solving 1 + 4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 6 + -1 4x = 6 + -1 Combine like terms: 6 + -1 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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