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Simplifying 27 + 2x = 3(x + 8) + -2 Reorder the terms: 27 + 2x = 3(8 + x) + -2 27 + 2x = (8 * 3 + x * 3) + -2 27 + 2x = (24 + 3x) + -2 Reorder the terms: 27 + 2x = 24 + -2 + 3x Combine like terms: 24 + -2 = 22 27 + 2x = 22 + 3x Solving 27 + 2x = 22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 27 + 2x + -3x = 22 + 3x + -3x Combine like terms: 2x + -3x = -1x 27 + -1x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + -1x = 22 + 0 27 + -1x = 22 Add '-27' to each side of the equation. 27 + -27 + -1x = 22 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 22 + -27 -1x = 22 + -27 Combine like terms: 22 + -27 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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