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Simplifying 3x + -8 = -1(x + -1) + -1 Reorder the terms: -8 + 3x = -1(x + -1) + -1 Reorder the terms: -8 + 3x = -1(-1 + x) + -1 -8 + 3x = (-1 * -1 + x * -1) + -1 -8 + 3x = (1 + -1x) + -1 Reorder the terms: -8 + 3x = 1 + -1 + -1x Combine like terms: 1 + -1 = 0 -8 + 3x = 0 + -1x -8 + 3x = -1x Solving -8 + 3x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 3x + x = -1x + x Combine like terms: 3x + x = 4x -8 + 4x = -1x + x Combine like terms: -1x + x = 0 -8 + 4x = 0 Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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