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Simplifying 5(x + 2) + -2(x + 4) = 7 Reorder the terms: 5(2 + x) + -2(x + 4) = 7 (2 * 5 + x * 5) + -2(x + 4) = 7 (10 + 5x) + -2(x + 4) = 7 Reorder the terms: 10 + 5x + -2(4 + x) = 7 10 + 5x + (4 * -2 + x * -2) = 7 10 + 5x + (-8 + -2x) = 7 Reorder the terms: 10 + -8 + 5x + -2x = 7 Combine like terms: 10 + -8 = 2 2 + 5x + -2x = 7 Combine like terms: 5x + -2x = 3x 2 + 3x = 7 Solving 2 + 3x = 7 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 + 3x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 7 + -2 3x = 7 + -2 Combine like terms: 7 + -2 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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