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Simplifying 6 + -1(x + 7) = 8 + -5x + -21 Reorder the terms: 6 + -1(7 + x) = 8 + -5x + -21 6 + (7 * -1 + x * -1) = 8 + -5x + -21 6 + (-7 + -1x) = 8 + -5x + -21 Combine like terms: 6 + -7 = -1 -1 + -1x = 8 + -5x + -21 Reorder the terms: -1 + -1x = 8 + -21 + -5x Combine like terms: 8 + -21 = -13 -1 + -1x = -13 + -5x Solving -1 + -1x = -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. -1 + -1x + 5x = -13 + -5x + 5x Combine like terms: -1x + 5x = 4x -1 + 4x = -13 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 4x = -13 + 0 -1 + 4x = -13 Add '1' to each side of the equation. -1 + 1 + 4x = -13 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = -13 + 1 4x = -13 + 1 Combine like terms: -13 + 1 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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