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Simplifying -6(x + 5) = -17 + x Reorder the terms: -6(5 + x) = -17 + x (5 * -6 + x * -6) = -17 + x (-30 + -6x) = -17 + x Solving -30 + -6x = -17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + -6x + -1x = -17 + x + -1x Combine like terms: -6x + -1x = -7x -30 + -7x = -17 + x + -1x Combine like terms: x + -1x = 0 -30 + -7x = -17 + 0 -30 + -7x = -17 Add '30' to each side of the equation. -30 + 30 + -7x = -17 + 30 Combine like terms: -30 + 30 = 0 0 + -7x = -17 + 30 -7x = -17 + 30 Combine like terms: -17 + 30 = 13 -7x = 13 Divide each side by '-7'. x = -1.857142857 Simplifying x = -1.857142857
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