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Simplifying -14 + -6x = 42 + -2(2x + 17) Reorder the terms: -14 + -6x = 42 + -2(17 + 2x) -14 + -6x = 42 + (17 * -2 + 2x * -2) -14 + -6x = 42 + (-34 + -4x) Combine like terms: 42 + -34 = 8 -14 + -6x = 8 + -4x Solving -14 + -6x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -14 + -6x + 4x = 8 + -4x + 4x Combine like terms: -6x + 4x = -2x -14 + -2x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + -2x = 8 + 0 -14 + -2x = 8 Add '14' to each side of the equation. -14 + 14 + -2x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 8 + 14 -2x = 8 + 14 Combine like terms: 8 + 14 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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