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Simplifying 14 + -1(2x + 8) = 5x + -1(3x + -34) Reorder the terms: 14 + -1(8 + 2x) = 5x + -1(3x + -34) 14 + (8 * -1 + 2x * -1) = 5x + -1(3x + -34) 14 + (-8 + -2x) = 5x + -1(3x + -34) Combine like terms: 14 + -8 = 6 6 + -2x = 5x + -1(3x + -34) Reorder the terms: 6 + -2x = 5x + -1(-34 + 3x) 6 + -2x = 5x + (-34 * -1 + 3x * -1) 6 + -2x = 5x + (34 + -3x) Reorder the terms: 6 + -2x = 34 + 5x + -3x Combine like terms: 5x + -3x = 2x 6 + -2x = 34 + 2x Solving 6 + -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. 6 + -2x + -2x = 34 + 2x + -2x Combine like terms: -2x + -2x = -4x 6 + -4x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -4x = 34 + 0 6 + -4x = 34 Add '-6' to each side of the equation. 6 + -6 + -4x = 34 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 34 + -6 -4x = 34 + -6 Combine like terms: 34 + -6 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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