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Simplifying (3x + -12) + (5x + -34) = 90 Reorder the terms: (-12 + 3x) + (5x + -34) = 90 Remove parenthesis around (-12 + 3x) -12 + 3x + (5x + -34) = 90 Reorder the terms: -12 + 3x + (-34 + 5x) = 90 Remove parenthesis around (-34 + 5x) -12 + 3x + -34 + 5x = 90 Reorder the terms: -12 + -34 + 3x + 5x = 90 Combine like terms: -12 + -34 = -46 -46 + 3x + 5x = 90 Combine like terms: 3x + 5x = 8x -46 + 8x = 90 Solving -46 + 8x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 8x = 90 + 46 Combine like terms: -46 + 46 = 0 0 + 8x = 90 + 46 8x = 90 + 46 Combine like terms: 90 + 46 = 136 8x = 136 Divide each side by '8'. x = 17 Simplifying x = 17
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