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Simplifying -7x + 27 = 6(x + -2) Reorder the terms: 27 + -7x = 6(x + -2) Reorder the terms: 27 + -7x = 6(-2 + x) 27 + -7x = (-2 * 6 + x * 6) 27 + -7x = (-12 + 6x) Solving 27 + -7x = -12 + 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. 27 + -7x + -6x = -12 + 6x + -6x Combine like terms: -7x + -6x = -13x 27 + -13x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -13x = -12 + 0 27 + -13x = -12 Add '-27' to each side of the equation. 27 + -27 + -13x = -12 + -27 Combine like terms: 27 + -27 = 0 0 + -13x = -12 + -27 -13x = -12 + -27 Combine like terms: -12 + -27 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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