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Simplifying 102 = 2x + 7(3x + -15) Reorder the terms: 102 = 2x + 7(-15 + 3x) 102 = 2x + (-15 * 7 + 3x * 7) 102 = 2x + (-105 + 21x) Reorder the terms: 102 = -105 + 2x + 21x Combine like terms: 2x + 21x = 23x 102 = -105 + 23x Solving 102 = -105 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 102 + -23x = -105 + 23x + -23x Combine like terms: 23x + -23x = 0 102 + -23x = -105 + 0 102 + -23x = -105 Add '-102' to each side of the equation. 102 + -102 + -23x = -105 + -102 Combine like terms: 102 + -102 = 0 0 + -23x = -105 + -102 -23x = -105 + -102 Combine like terms: -105 + -102 = -207 -23x = -207 Divide each side by '-23'. x = 9 Simplifying x = 9
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