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Simplifying -34 + (-5) + -1(5 + -12) = 18 + -1x -34 + -5 + -1(5 + -12) = 18 + -1x Combine like terms: 5 + -12 = -7 -34 + -5 + -1(-7) = 18 + -1x Multiply -1 * -7 -34 + -5 + 7 = 18 + -1x Combine like terms: -34 + -5 = -39 -39 + 7 = 18 + -1x Combine like terms: -39 + 7 = -32 -32 = 18 + -1x Solving -32 = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -32 + x = 18 + -1x + x Combine like terms: -1x + x = 0 -32 + x = 18 + 0 -32 + x = 18 Add '32' to each side of the equation. -32 + 32 + x = 18 + 32 Combine like terms: -32 + 32 = 0 0 + x = 18 + 32 x = 18 + 32 Combine like terms: 18 + 32 = 50 x = 50 Simplifying x = 50
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