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Simplifying 42 + -6x = 12 + -9x Solving 42 + -6x = 12 + -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. 42 + -6x + 9x = 12 + -9x + 9x Combine like terms: -6x + 9x = 3x 42 + 3x = 12 + -9x + 9x Combine like terms: -9x + 9x = 0 42 + 3x = 12 + 0 42 + 3x = 12 Add '-42' to each side of the equation. 42 + -42 + 3x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 12 + -42 3x = 12 + -42 Combine like terms: 12 + -42 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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