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Simplifying 5(x + 2) + -2(x + 2) = 47 Reorder the terms: 5(2 + x) + -2(x + 2) = 47 (2 * 5 + x * 5) + -2(x + 2) = 47 (10 + 5x) + -2(x + 2) = 47 Reorder the terms: 10 + 5x + -2(2 + x) = 47 10 + 5x + (2 * -2 + x * -2) = 47 10 + 5x + (-4 + -2x) = 47 Reorder the terms: 10 + -4 + 5x + -2x = 47 Combine like terms: 10 + -4 = 6 6 + 5x + -2x = 47 Combine like terms: 5x + -2x = 3x 6 + 3x = 47 Solving 6 + 3x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3x = 47 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 47 + -6 3x = 47 + -6 Combine like terms: 47 + -6 = 41 3x = 41 Divide each side by '3'. x = 13.66666667 Simplifying x = 13.66666667
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