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Simplifying -7(x + 1) + -6 = -41 + 55 Reorder the terms: -7(1 + x) + -6 = -41 + 55 (1 * -7 + x * -7) + -6 = -41 + 55 (-7 + -7x) + -6 = -41 + 55 Reorder the terms: -7 + -6 + -7x = -41 + 55 Combine like terms: -7 + -6 = -13 -13 + -7x = -41 + 55 Combine like terms: -41 + 55 = 14 -13 + -7x = 14 Solving -13 + -7x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -7x = 14 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 14 + 13 -7x = 14 + 13 Combine like terms: 14 + 13 = 27 -7x = 27 Divide each side by '-7'. x = -3.857142857 Simplifying x = -3.857142857
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