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Simplifying x + -1(2 + 1) = 8 + -1(3x + 3) Combine like terms: 2 + 1 = 3 x + -1(3) = 8 + -1(3x + 3) Multiply -1 * 3 x + -3 = 8 + -1(3x + 3) Reorder the terms: -3 + x = 8 + -1(3x + 3) Reorder the terms: -3 + x = 8 + -1(3 + 3x) -3 + x = 8 + (3 * -1 + 3x * -1) -3 + x = 8 + (-3 + -3x) Combine like terms: 8 + -3 = 5 -3 + x = 5 + -3x Solving -3 + x = 5 + -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. -3 + x + 3x = 5 + -3x + 3x Combine like terms: x + 3x = 4x -3 + 4x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 4x = 5 + 0 -3 + 4x = 5 Add '3' to each side of the equation. -3 + 3 + 4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 5 + 3 4x = 5 + 3 Combine like terms: 5 + 3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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