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Simplifying 35 + 6x + -20 = 9x + 42 Reorder the terms: 35 + -20 + 6x = 9x + 42 Combine like terms: 35 + -20 = 15 15 + 6x = 9x + 42 Reorder the terms: 15 + 6x = 42 + 9x Solving 15 + 6x = 42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 6x + -9x = 42 + 9x + -9x Combine like terms: 6x + -9x = -3x 15 + -3x = 42 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -3x = 42 + 0 15 + -3x = 42 Add '-15' to each side of the equation. 15 + -15 + -3x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 42 + -15 -3x = 42 + -15 Combine like terms: 42 + -15 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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