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Simplifying 3(x + -2) + -4 = 27x + -82 Reorder the terms: 3(-2 + x) + -4 = 27x + -82 (-2 * 3 + x * 3) + -4 = 27x + -82 (-6 + 3x) + -4 = 27x + -82 Reorder the terms: -6 + -4 + 3x = 27x + -82 Combine like terms: -6 + -4 = -10 -10 + 3x = 27x + -82 Reorder the terms: -10 + 3x = -82 + 27x Solving -10 + 3x = -82 + 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. -10 + 3x + -27x = -82 + 27x + -27x Combine like terms: 3x + -27x = -24x -10 + -24x = -82 + 27x + -27x Combine like terms: 27x + -27x = 0 -10 + -24x = -82 + 0 -10 + -24x = -82 Add '10' to each side of the equation. -10 + 10 + -24x = -82 + 10 Combine like terms: -10 + 10 = 0 0 + -24x = -82 + 10 -24x = -82 + 10 Combine like terms: -82 + 10 = -72 -24x = -72 Divide each side by '-24'. x = 3 Simplifying x = 3
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