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