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Simplifying 3x + 2(x + -3) = 8x + x + -14 Reorder the terms: 3x + 2(-3 + x) = 8x + x + -14 3x + (-3 * 2 + x * 2) = 8x + x + -14 3x + (-6 + 2x) = 8x + x + -14 Reorder the terms: -6 + 3x + 2x = 8x + x + -14 Combine like terms: 3x + 2x = 5x -6 + 5x = 8x + x + -14 Reorder the terms: -6 + 5x = -14 + 8x + x Combine like terms: 8x + x = 9x -6 + 5x = -14 + 9x Solving -6 + 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. -6 + 5x + -9x = -14 + 9x + -9x Combine like terms: 5x + -9x = -4x -6 + -4x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -4x = -14 + 0 -6 + -4x = -14 Add '6' to each side of the equation. -6 + 6 + -4x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -14 + 6 -4x = -14 + 6 Combine like terms: -14 + 6 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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