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Simplifying 6x + 13 = 7x + -9 Reorder the terms: 13 + 6x = 7x + -9 Reorder the terms: 13 + 6x = -9 + 7x Solving 13 + 6x = -9 + 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 + 6x + -7x = -9 + 7x + -7x Combine like terms: 6x + -7x = -1x 13 + -1x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -1x = -9 + 0 13 + -1x = -9 Add '-13' to each side of the equation. 13 + -13 + -1x = -9 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -9 + -13 -1x = -9 + -13 Combine like terms: -9 + -13 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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