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Simplifying 8x + -2(x + 9) = x + 27 Reorder the terms: 8x + -2(9 + x) = x + 27 8x + (9 * -2 + x * -2) = x + 27 8x + (-18 + -2x) = x + 27 Reorder the terms: -18 + 8x + -2x = x + 27 Combine like terms: 8x + -2x = 6x -18 + 6x = x + 27 Reorder the terms: -18 + 6x = 27 + x Solving -18 + 6x = 27 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 6x + -1x = 27 + x + -1x Combine like terms: 6x + -1x = 5x -18 + 5x = 27 + x + -1x Combine like terms: x + -1x = 0 -18 + 5x = 27 + 0 -18 + 5x = 27 Add '18' to each side of the equation. -18 + 18 + 5x = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 27 + 18 5x = 27 + 18 Combine like terms: 27 + 18 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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