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Simplifying 3x + 2(x + -9) = 8x + x + -2 Reorder the terms: 3x + 2(-9 + x) = 8x + x + -2 3x + (-9 * 2 + x * 2) = 8x + x + -2 3x + (-18 + 2x) = 8x + x + -2 Reorder the terms: -18 + 3x + 2x = 8x + x + -2 Combine like terms: 3x + 2x = 5x -18 + 5x = 8x + x + -2 Reorder the terms: -18 + 5x = -2 + 8x + x Combine like terms: 8x + x = 9x -18 + 5x = -2 + 9x Solving -18 + 5x = -2 + 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 = -2 + 9x + -9x Combine like terms: 5x + -9x = -4x -18 + -4x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -4x = -2 + 0 -18 + -4x = -2 Add '18' to each side of the equation. -18 + 18 + -4x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = -2 + 18 -4x = -2 + 18 Combine like terms: -2 + 18 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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