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Simplifying 12x + 9 = 13x + -7 Reorder the terms: 9 + 12x = 13x + -7 Reorder the terms: 9 + 12x = -7 + 13x Solving 9 + 12x = -7 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 9 + 12x + -13x = -7 + 13x + -13x Combine like terms: 12x + -13x = -1x 9 + -1x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + -1x = -7 + 0 9 + -1x = -7 Add '-9' to each side of the equation. 9 + -9 + -1x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -7 + -9 -1x = -7 + -9 Combine like terms: -7 + -9 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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