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Simplifying 14 + -2(x + 8) = 5x + -1(3 + -34) Reorder the terms: 14 + -2(8 + x) = 5x + -1(3 + -34) 14 + (8 * -2 + x * -2) = 5x + -1(3 + -34) 14 + (-16 + -2x) = 5x + -1(3 + -34) Combine like terms: 14 + -16 = -2 -2 + -2x = 5x + -1(3 + -34) Combine like terms: 3 + -34 = -31 -2 + -2x = 5x + -1(-31) Multiply -1 * -31 -2 + -2x = 5x + 31 Reorder the terms: -2 + -2x = 31 + 5x Solving -2 + -2x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + -2x + -5x = 31 + 5x + -5x Combine like terms: -2x + -5x = -7x -2 + -7x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -7x = 31 + 0 -2 + -7x = 31 Add '2' to each side of the equation. -2 + 2 + -7x = 31 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 31 + 2 -7x = 31 + 2 Combine like terms: 31 + 2 = 33 -7x = 33 Divide each side by '-7'. x = -4.714285714 Simplifying x = -4.714285714
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