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Simplifying 3(2x + -3) + -2(1 + -1x) = 5 Reorder the terms: 3(-3 + 2x) + -2(1 + -1x) = 5 (-3 * 3 + 2x * 3) + -2(1 + -1x) = 5 (-9 + 6x) + -2(1 + -1x) = 5 -9 + 6x + (1 * -2 + -1x * -2) = 5 -9 + 6x + (-2 + 2x) = 5 Reorder the terms: -9 + -2 + 6x + 2x = 5 Combine like terms: -9 + -2 = -11 -11 + 6x + 2x = 5 Combine like terms: 6x + 2x = 8x -11 + 8x = 5 Solving -11 + 8x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 5 + 11 8x = 5 + 11 Combine like terms: 5 + 11 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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