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Simplifying 2x + -6(x + 3) = 5x + 27 Reorder the terms: 2x + -6(3 + x) = 5x + 27 2x + (3 * -6 + x * -6) = 5x + 27 2x + (-18 + -6x) = 5x + 27 Reorder the terms: -18 + 2x + -6x = 5x + 27 Combine like terms: 2x + -6x = -4x -18 + -4x = 5x + 27 Reorder the terms: -18 + -4x = 27 + 5x Solving -18 + -4x = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + -4x + -5x = 27 + 5x + -5x Combine like terms: -4x + -5x = -9x -18 + -9x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -9x = 27 + 0 -18 + -9x = 27 Add '18' to each side of the equation. -18 + 18 + -9x = 27 + 18 Combine like terms: -18 + 18 = 0 0 + -9x = 27 + 18 -9x = 27 + 18 Combine like terms: 27 + 18 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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