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Simplifying -6x + 13 + 7x = 6 + 7x Reorder the terms: 13 + -6x + 7x = 6 + 7x Combine like terms: -6x + 7x = 1x 13 + 1x = 6 + 7x Solving 13 + 1x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 1x + -7x = 6 + 7x + -7x Combine like terms: 1x + -7x = -6x 13 + -6x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -6x = 6 + 0 13 + -6x = 6 Add '-13' to each side of the equation. 13 + -13 + -6x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 6 + -13 -6x = 6 + -13 Combine like terms: 6 + -13 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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