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Simplifying (x + -6) * 2 + -13(x + -6) + 40 = 0 Reorder the terms: (-6 + x) * 2 + -13(x + -6) + 40 = 0 Reorder the terms for easier multiplication: 2(-6 + x) + -13(x + -6) + 40 = 0 (-6 * 2 + x * 2) + -13(x + -6) + 40 = 0 (-12 + 2x) + -13(x + -6) + 40 = 0 Reorder the terms: -12 + 2x + -13(-6 + x) + 40 = 0 -12 + 2x + (-6 * -13 + x * -13) + 40 = 0 -12 + 2x + (78 + -13x) + 40 = 0 Reorder the terms: -12 + 78 + 40 + 2x + -13x = 0 Combine like terms: -12 + 78 = 66 66 + 40 + 2x + -13x = 0 Combine like terms: 66 + 40 = 106 106 + 2x + -13x = 0 Combine like terms: 2x + -13x = -11x 106 + -11x = 0 Solving 106 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + -11x = 0 + -106 Combine like terms: 106 + -106 = 0 0 + -11x = 0 + -106 -11x = 0 + -106 Combine like terms: 0 + -106 = -106 -11x = -106 Divide each side by '-11'. x = 9.636363636 Simplifying x = 9.636363636
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