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Simplifying 6 + -6x = -30 + 3x + -12 Reorder the terms: 6 + -6x = -30 + -12 + 3x Combine like terms: -30 + -12 = -42 6 + -6x = -42 + 3x Solving 6 + -6x = -42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -6x + -3x = -42 + 3x + -3x Combine like terms: -6x + -3x = -9x 6 + -9x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -9x = -42 + 0 6 + -9x = -42 Add '-6' to each side of the equation. 6 + -6 + -9x = -42 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -42 + -6 -9x = -42 + -6 Combine like terms: -42 + -6 = -48 -9x = -48 Divide each side by '-9'. x = 5.333333333 Simplifying x = 5.333333333
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