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Simplifying 3x + 7 = 9x + -42 Reorder the terms: 7 + 3x = 9x + -42 Reorder the terms: 7 + 3x = -42 + 9x Solving 7 + 3x = -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. 7 + 3x + -9x = -42 + 9x + -9x Combine like terms: 3x + -9x = -6x 7 + -6x = -42 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -6x = -42 + 0 7 + -6x = -42 Add '-7' to each side of the equation. 7 + -7 + -6x = -42 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -42 + -7 -6x = -42 + -7 Combine like terms: -42 + -7 = -49 -6x = -49 Divide each side by '-6'. x = 8.166666667 Simplifying x = 8.166666667
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