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Simplifying 8(2x + 3) + 2(x + -5) = 68 Reorder the terms: 8(3 + 2x) + 2(x + -5) = 68 (3 * 8 + 2x * 8) + 2(x + -5) = 68 (24 + 16x) + 2(x + -5) = 68 Reorder the terms: 24 + 16x + 2(-5 + x) = 68 24 + 16x + (-5 * 2 + x * 2) = 68 24 + 16x + (-10 + 2x) = 68 Reorder the terms: 24 + -10 + 16x + 2x = 68 Combine like terms: 24 + -10 = 14 14 + 16x + 2x = 68 Combine like terms: 16x + 2x = 18x 14 + 18x = 68 Solving 14 + 18x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 18x = 68 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = 68 + -14 18x = 68 + -14 Combine like terms: 68 + -14 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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