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Simplifying -5x + 7(-5x + 14) = -102 Reorder the terms: -5x + 7(14 + -5x) = -102 -5x + (14 * 7 + -5x * 7) = -102 -5x + (98 + -35x) = -102 Reorder the terms: 98 + -5x + -35x = -102 Combine like terms: -5x + -35x = -40x 98 + -40x = -102 Solving 98 + -40x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + -40x = -102 + -98 Combine like terms: 98 + -98 = 0 0 + -40x = -102 + -98 -40x = -102 + -98 Combine like terms: -102 + -98 = -200 -40x = -200 Divide each side by '-40'. x = 5 Simplifying x = 5
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