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Simplifying -6(x + -4) + -1(-7 + 1) = 7 Reorder the terms: -6(-4 + x) + -1(-7 + 1) = 7 (-4 * -6 + x * -6) + -1(-7 + 1) = 7 (24 + -6x) + -1(-7 + 1) = 7 Combine like terms: -7 + 1 = -6 24 + -6x + -1(-6) = 7 Multiply -1 * -6 24 + -6x + 6 = 7 Reorder the terms: 24 + 6 + -6x = 7 Combine like terms: 24 + 6 = 30 30 + -6x = 7 Solving 30 + -6x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -6x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 7 + -30 -6x = 7 + -30 Combine like terms: 7 + -30 = -23 -6x = -23 Divide each side by '-6'. x = 3.833333333 Simplifying x = 3.833333333
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