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Simplifying 102 = 6x + 7(2x + -14) Reorder the terms: 102 = 6x + 7(-14 + 2x) 102 = 6x + (-14 * 7 + 2x * 7) 102 = 6x + (-98 + 14x) Reorder the terms: 102 = -98 + 6x + 14x Combine like terms: 6x + 14x = 20x 102 = -98 + 20x Solving 102 = -98 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 102 + -20x = -98 + 20x + -20x Combine like terms: 20x + -20x = 0 102 + -20x = -98 + 0 102 + -20x = -98 Add '-102' to each side of the equation. 102 + -102 + -20x = -98 + -102 Combine like terms: 102 + -102 = 0 0 + -20x = -98 + -102 -20x = -98 + -102 Combine like terms: -98 + -102 = -200 -20x = -200 Divide each side by '-20'. x = 10 Simplifying x = 10
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