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Simplifying -10(7X + -17) = 7X + 38 Reorder the terms: -10(-17 + 7X) = 7X + 38 (-17 * -10 + 7X * -10) = 7X + 38 (170 + -70X) = 7X + 38 Reorder the terms: 170 + -70X = 38 + 7X Solving 170 + -70X = 38 + 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. 170 + -70X + -7X = 38 + 7X + -7X Combine like terms: -70X + -7X = -77X 170 + -77X = 38 + 7X + -7X Combine like terms: 7X + -7X = 0 170 + -77X = 38 + 0 170 + -77X = 38 Add '-170' to each side of the equation. 170 + -170 + -77X = 38 + -170 Combine like terms: 170 + -170 = 0 0 + -77X = 38 + -170 -77X = 38 + -170 Combine like terms: 38 + -170 = -132 -77X = -132 Divide each side by '-77'. X = 1.714285714 Simplifying X = 1.714285714
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