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Simplifying 8(2x + 3) + 7(x + -1) = 63 Reorder the terms: 8(3 + 2x) + 7(x + -1) = 63 (3 * 8 + 2x * 8) + 7(x + -1) = 63 (24 + 16x) + 7(x + -1) = 63 Reorder the terms: 24 + 16x + 7(-1 + x) = 63 24 + 16x + (-1 * 7 + x * 7) = 63 24 + 16x + (-7 + 7x) = 63 Reorder the terms: 24 + -7 + 16x + 7x = 63 Combine like terms: 24 + -7 = 17 17 + 16x + 7x = 63 Combine like terms: 16x + 7x = 23x 17 + 23x = 63 Solving 17 + 23x = 63 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 23x = 63 + -17 Combine like terms: 17 + -17 = 0 0 + 23x = 63 + -17 23x = 63 + -17 Combine like terms: 63 + -17 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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