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Simplifying 3(x + -1(2x + 3)) = 5(-1x + 3) + -2 Reorder the terms: 3(x + -1(3 + 2x)) = 5(-1x + 3) + -2 3(x + (3 * -1 + 2x * -1)) = 5(-1x + 3) + -2 3(x + (-3 + -2x)) = 5(-1x + 3) + -2 Reorder the terms: 3(-3 + x + -2x) = 5(-1x + 3) + -2 Combine like terms: x + -2x = -1x 3(-3 + -1x) = 5(-1x + 3) + -2 (-3 * 3 + -1x * 3) = 5(-1x + 3) + -2 (-9 + -3x) = 5(-1x + 3) + -2 Reorder the terms: -9 + -3x = 5(3 + -1x) + -2 -9 + -3x = (3 * 5 + -1x * 5) + -2 -9 + -3x = (15 + -5x) + -2 Reorder the terms: -9 + -3x = 15 + -2 + -5x Combine like terms: 15 + -2 = 13 -9 + -3x = 13 + -5x Solving -9 + -3x = 13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -9 + -3x + 5x = 13 + -5x + 5x Combine like terms: -3x + 5x = 2x -9 + 2x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 2x = 13 + 0 -9 + 2x = 13 Add '9' to each side of the equation. -9 + 9 + 2x = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 13 + 9 2x = 13 + 9 Combine like terms: 13 + 9 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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