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Simplifying 14 + -2(x + 8) = 5x + (3x + -34) Reorder the terms: 14 + -2(8 + x) = 5x + (3x + -34) 14 + (8 * -2 + x * -2) = 5x + (3x + -34) 14 + (-16 + -2x) = 5x + (3x + -34) Combine like terms: 14 + -16 = -2 -2 + -2x = 5x + (3x + -34) Reorder the terms: -2 + -2x = 5x + (-34 + 3x) Remove parenthesis around (-34 + 3x) -2 + -2x = 5x + -34 + 3x Reorder the terms: -2 + -2x = -34 + 5x + 3x Combine like terms: 5x + 3x = 8x -2 + -2x = -34 + 8x Solving -2 + -2x = -34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + -2x + -8x = -34 + 8x + -8x Combine like terms: -2x + -8x = -10x -2 + -10x = -34 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -10x = -34 + 0 -2 + -10x = -34 Add '2' to each side of the equation. -2 + 2 + -10x = -34 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = -34 + 2 -10x = -34 + 2 Combine like terms: -34 + 2 = -32 -10x = -32 Divide each side by '-10'. x = 3.2 Simplifying x = 3.2
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