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Simplifying -1(1 + 7x) + -6(-7 + -1x) = 2x + -34 (1 * -1 + 7x * -1) + -6(-7 + -1x) = 2x + -34 (-1 + -7x) + -6(-7 + -1x) = 2x + -34 -1 + -7x + (-7 * -6 + -1x * -6) = 2x + -34 -1 + -7x + (42 + 6x) = 2x + -34 Reorder the terms: -1 + 42 + -7x + 6x = 2x + -34 Combine like terms: -1 + 42 = 41 41 + -7x + 6x = 2x + -34 Combine like terms: -7x + 6x = -1x 41 + -1x = 2x + -34 Reorder the terms: 41 + -1x = -34 + 2x Solving 41 + -1x = -34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 41 + -1x + -2x = -34 + 2x + -2x Combine like terms: -1x + -2x = -3x 41 + -3x = -34 + 2x + -2x Combine like terms: 2x + -2x = 0 41 + -3x = -34 + 0 41 + -3x = -34 Add '-41' to each side of the equation. 41 + -41 + -3x = -34 + -41 Combine like terms: 41 + -41 = 0 0 + -3x = -34 + -41 -3x = -34 + -41 Combine like terms: -34 + -41 = -75 -3x = -75 Divide each side by '-3'. x = 25 Simplifying x = 25
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