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Simplifying 27 + -1(x + 7) = 6x + -8 Reorder the terms: 27 + -1(7 + x) = 6x + -8 27 + (7 * -1 + x * -1) = 6x + -8 27 + (-7 + -1x) = 6x + -8 Combine like terms: 27 + -7 = 20 20 + -1x = 6x + -8 Reorder the terms: 20 + -1x = -8 + 6x Solving 20 + -1x = -8 + 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. 20 + -1x + -6x = -8 + 6x + -6x Combine like terms: -1x + -6x = -7x 20 + -7x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -7x = -8 + 0 20 + -7x = -8 Add '-20' to each side of the equation. 20 + -20 + -7x = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = -8 + -20 -7x = -8 + -20 Combine like terms: -8 + -20 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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