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Simplifying -43 = -1X + -1(-8X + -6) Reorder the terms: -43 = -1X + -1(-6 + -8X) -43 = -1X + (-6 * -1 + -8X * -1) -43 = -1X + (6 + 8X) Reorder the terms: -43 = 6 + -1X + 8X Combine like terms: -1X + 8X = 7X -43 = 6 + 7X Solving -43 = 6 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -43 + -7X = 6 + 7X + -7X Combine like terms: 7X + -7X = 0 -43 + -7X = 6 + 0 -43 + -7X = 6 Add '43' to each side of the equation. -43 + 43 + -7X = 6 + 43 Combine like terms: -43 + 43 = 0 0 + -7X = 6 + 43 -7X = 6 + 43 Combine like terms: 6 + 43 = 49 -7X = 49 Divide each side by '-7'. X = -7 Simplifying X = -7
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