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Simplifying 3(x + 4) + 5(x + -2) = 66 Reorder the terms: 3(4 + x) + 5(x + -2) = 66 (4 * 3 + x * 3) + 5(x + -2) = 66 (12 + 3x) + 5(x + -2) = 66 Reorder the terms: 12 + 3x + 5(-2 + x) = 66 12 + 3x + (-2 * 5 + x * 5) = 66 12 + 3x + (-10 + 5x) = 66 Reorder the terms: 12 + -10 + 3x + 5x = 66 Combine like terms: 12 + -10 = 2 2 + 3x + 5x = 66 Combine like terms: 3x + 5x = 8x 2 + 8x = 66 Solving 2 + 8x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 66 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 66 + -2 8x = 66 + -2 Combine like terms: 66 + -2 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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