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Simplifying 6x + 7 = 9x + -13 Reorder the terms: 7 + 6x = 9x + -13 Reorder the terms: 7 + 6x = -13 + 9x Solving 7 + 6x = -13 + 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 + 6x + -9x = -13 + 9x + -9x Combine like terms: 6x + -9x = -3x 7 + -3x = -13 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -3x = -13 + 0 7 + -3x = -13 Add '-7' to each side of the equation. 7 + -7 + -3x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -13 + -7 -3x = -13 + -7 Combine like terms: -13 + -7 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667
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