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Simplifying 6x + 9 = 13x + -12 Reorder the terms: 9 + 6x = 13x + -12 Reorder the terms: 9 + 6x = -12 + 13x Solving 9 + 6x = -12 + 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 + 6x + -13x = -12 + 13x + -13x Combine like terms: 6x + -13x = -7x 9 + -7x = -12 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + -7x = -12 + 0 9 + -7x = -12 Add '-9' to each side of the equation. 9 + -9 + -7x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = -12 + -9 -7x = -12 + -9 Combine like terms: -12 + -9 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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