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Simplifying 6x + 13 = -107 + -9x Reorder the terms: 13 + 6x = -107 + -9x Solving 13 + 6x = -107 + -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. 13 + 6x + 9x = -107 + -9x + 9x Combine like terms: 6x + 9x = 15x 13 + 15x = -107 + -9x + 9x Combine like terms: -9x + 9x = 0 13 + 15x = -107 + 0 13 + 15x = -107 Add '-13' to each side of the equation. 13 + -13 + 15x = -107 + -13 Combine like terms: 13 + -13 = 0 0 + 15x = -107 + -13 15x = -107 + -13 Combine like terms: -107 + -13 = -120 15x = -120 Divide each side by '15'. x = -8 Simplifying x = -8
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