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Simplifying 14 + -2(x + 8) = 5x + -1(3x + -34) Reorder the terms: 14 + -2(8 + x) = 5x + -1(3x + -34) 14 + (8 * -2 + x * -2) = 5x + -1(3x + -34) 14 + (-16 + -2x) = 5x + -1(3x + -34) Combine like terms: 14 + -16 = -2 -2 + -2x = 5x + -1(3x + -34) Reorder the terms: -2 + -2x = 5x + -1(-34 + 3x) -2 + -2x = 5x + (-34 * -1 + 3x * -1) -2 + -2x = 5x + (34 + -3x) Reorder the terms: -2 + -2x = 34 + 5x + -3x Combine like terms: 5x + -3x = 2x -2 + -2x = 34 + 2x Solving -2 + -2x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -2x + -2x = 34 + 2x + -2x Combine like terms: -2x + -2x = -4x -2 + -4x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -4x = 34 + 0 -2 + -4x = 34 Add '2' to each side of the equation. -2 + 2 + -4x = 34 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 34 + 2 -4x = 34 + 2 Combine like terms: 34 + 2 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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