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Simplifying -7(x + 1) + -6 = -41x + 55 Reorder the terms: -7(1 + x) + -6 = -41x + 55 (1 * -7 + x * -7) + -6 = -41x + 55 (-7 + -7x) + -6 = -41x + 55 Reorder the terms: -7 + -6 + -7x = -41x + 55 Combine like terms: -7 + -6 = -13 -13 + -7x = -41x + 55 Reorder the terms: -13 + -7x = 55 + -41x Solving -13 + -7x = 55 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. -13 + -7x + 41x = 55 + -41x + 41x Combine like terms: -7x + 41x = 34x -13 + 34x = 55 + -41x + 41x Combine like terms: -41x + 41x = 0 -13 + 34x = 55 + 0 -13 + 34x = 55 Add '13' to each side of the equation. -13 + 13 + 34x = 55 + 13 Combine like terms: -13 + 13 = 0 0 + 34x = 55 + 13 34x = 55 + 13 Combine like terms: 55 + 13 = 68 34x = 68 Divide each side by '34'. x = 2 Simplifying x = 2
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