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Simplifying -6(x + -1) * 17 = -7x + 2 Reorder the terms: -6(-1 + x) * 17 = -7x + 2 Reorder the terms for easier multiplication: -6 * 17(-1 + x) = -7x + 2 Multiply -6 * 17 -102(-1 + x) = -7x + 2 (-1 * -102 + x * -102) = -7x + 2 (102 + -102x) = -7x + 2 Reorder the terms: 102 + -102x = 2 + -7x Solving 102 + -102x = 2 + -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. 102 + -102x + 7x = 2 + -7x + 7x Combine like terms: -102x + 7x = -95x 102 + -95x = 2 + -7x + 7x Combine like terms: -7x + 7x = 0 102 + -95x = 2 + 0 102 + -95x = 2 Add '-102' to each side of the equation. 102 + -102 + -95x = 2 + -102 Combine like terms: 102 + -102 = 0 0 + -95x = 2 + -102 -95x = 2 + -102 Combine like terms: 2 + -102 = -100 -95x = -100 Divide each side by '-95'. x = 1.052631579 Simplifying x = 1.052631579
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