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Simplifying 8 + -6(2x + 7) = -6x + 14 Reorder the terms: 8 + -6(7 + 2x) = -6x + 14 8 + (7 * -6 + 2x * -6) = -6x + 14 8 + (-42 + -12x) = -6x + 14 Combine like terms: 8 + -42 = -34 -34 + -12x = -6x + 14 Reorder the terms: -34 + -12x = 14 + -6x Solving -34 + -12x = 14 + -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. -34 + -12x + 6x = 14 + -6x + 6x Combine like terms: -12x + 6x = -6x -34 + -6x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -34 + -6x = 14 + 0 -34 + -6x = 14 Add '34' to each side of the equation. -34 + 34 + -6x = 14 + 34 Combine like terms: -34 + 34 = 0 0 + -6x = 14 + 34 -6x = 14 + 34 Combine like terms: 14 + 34 = 48 -6x = 48 Divide each side by '-6'. x = -8 Simplifying x = -8
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