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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 = -49 -5x = -49 Divide each side by '-5'. x = 9.8 Simplifying x = 9.8
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