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Simplifying 3(2x + -3) + -2(1 + -1x) = x + 3 Reorder the terms: 3(-3 + 2x) + -2(1 + -1x) = x + 3 (-3 * 3 + 2x * 3) + -2(1 + -1x) = x + 3 (-9 + 6x) + -2(1 + -1x) = x + 3 -9 + 6x + (1 * -2 + -1x * -2) = x + 3 -9 + 6x + (-2 + 2x) = x + 3 Reorder the terms: -9 + -2 + 6x + 2x = x + 3 Combine like terms: -9 + -2 = -11 -11 + 6x + 2x = x + 3 Combine like terms: 6x + 2x = 8x -11 + 8x = x + 3 Reorder the terms: -11 + 8x = 3 + x Solving -11 + 8x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + 8x + -1x = 3 + x + -1x Combine like terms: 8x + -1x = 7x -11 + 7x = 3 + x + -1x Combine like terms: x + -1x = 0 -11 + 7x = 3 + 0 -11 + 7x = 3 Add '11' to each side of the equation. -11 + 11 + 7x = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 3 + 11 7x = 3 + 11 Combine like terms: 3 + 11 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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