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Simplifying x + -6 = 21 + -6(x + 8) Reorder the terms: -6 + x = 21 + -6(x + 8) Reorder the terms: -6 + x = 21 + -6(8 + x) -6 + x = 21 + (8 * -6 + x * -6) -6 + x = 21 + (-48 + -6x) Combine like terms: 21 + -48 = -27 -6 + x = -27 + -6x Solving -6 + x = -27 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + x + 6x = -27 + -6x + 6x Combine like terms: x + 6x = 7x -6 + 7x = -27 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 7x = -27 + 0 -6 + 7x = -27 Add '6' to each side of the equation. -6 + 6 + 7x = -27 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -27 + 6 7x = -27 + 6 Combine like terms: -27 + 6 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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