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Simplifying 8(x + 3) + 14(x + 2) = 74 Reorder the terms: 8(3 + x) + 14(x + 2) = 74 (3 * 8 + x * 8) + 14(x + 2) = 74 (24 + 8x) + 14(x + 2) = 74 Reorder the terms: 24 + 8x + 14(2 + x) = 74 24 + 8x + (2 * 14 + x * 14) = 74 24 + 8x + (28 + 14x) = 74 Reorder the terms: 24 + 28 + 8x + 14x = 74 Combine like terms: 24 + 28 = 52 52 + 8x + 14x = 74 Combine like terms: 8x + 14x = 22x 52 + 22x = 74 Solving 52 + 22x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 22x = 74 + -52 Combine like terms: 52 + -52 = 0 0 + 22x = 74 + -52 22x = 74 + -52 Combine like terms: 74 + -52 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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