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Simplifying 6x + -7 = 9x + -42 + 2x Reorder the terms: -7 + 6x = 9x + -42 + 2x Reorder the terms: -7 + 6x = -42 + 9x + 2x Combine like terms: 9x + 2x = 11x -7 + 6x = -42 + 11x Solving -7 + 6x = -42 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -7 + 6x + -11x = -42 + 11x + -11x Combine like terms: 6x + -11x = -5x -7 + -5x = -42 + 11x + -11x Combine like terms: 11x + -11x = 0 -7 + -5x = -42 + 0 -7 + -5x = -42 Add '7' to each side of the equation. -7 + 7 + -5x = -42 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -42 + 7 -5x = -42 + 7 Combine like terms: -42 + 7 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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