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Simplifying 3x + 2(x + 9) = 8x + x + -14 Reorder the terms: 3x + 2(9 + x) = 8x + x + -14 3x + (9 * 2 + x * 2) = 8x + x + -14 3x + (18 + 2x) = 8x + x + -14 Reorder the terms: 18 + 3x + 2x = 8x + x + -14 Combine like terms: 3x + 2x = 5x 18 + 5x = 8x + x + -14 Reorder the terms: 18 + 5x = -14 + 8x + x Combine like terms: 8x + x = 9x 18 + 5x = -14 + 9x Solving 18 + 5x = -14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + 5x + -9x = -14 + 9x + -9x Combine like terms: 5x + -9x = -4x 18 + -4x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -4x = -14 + 0 18 + -4x = -14 Add '-18' to each side of the equation. 18 + -18 + -4x = -14 + -18 Combine like terms: 18 + -18 = 0 0 + -4x = -14 + -18 -4x = -14 + -18 Combine like terms: -14 + -18 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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