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Simplifying 3(x + -2) + -8 = 27x + -278 Reorder the terms: 3(-2 + x) + -8 = 27x + -278 (-2 * 3 + x * 3) + -8 = 27x + -278 (-6 + 3x) + -8 = 27x + -278 Reorder the terms: -6 + -8 + 3x = 27x + -278 Combine like terms: -6 + -8 = -14 -14 + 3x = 27x + -278 Reorder the terms: -14 + 3x = -278 + 27x Solving -14 + 3x = -278 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -14 + 3x + -27x = -278 + 27x + -27x Combine like terms: 3x + -27x = -24x -14 + -24x = -278 + 27x + -27x Combine like terms: 27x + -27x = 0 -14 + -24x = -278 + 0 -14 + -24x = -278 Add '14' to each side of the equation. -14 + 14 + -24x = -278 + 14 Combine like terms: -14 + 14 = 0 0 + -24x = -278 + 14 -24x = -278 + 14 Combine like terms: -278 + 14 = -264 -24x = -264 Divide each side by '-24'. x = 11 Simplifying x = 11
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