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Simplifying 2(x + 5) + -3(2 + -2x) = 28 Reorder the terms: 2(5 + x) + -3(2 + -2x) = 28 (5 * 2 + x * 2) + -3(2 + -2x) = 28 (10 + 2x) + -3(2 + -2x) = 28 10 + 2x + (2 * -3 + -2x * -3) = 28 10 + 2x + (-6 + 6x) = 28 Reorder the terms: 10 + -6 + 2x + 6x = 28 Combine like terms: 10 + -6 = 4 4 + 2x + 6x = 28 Combine like terms: 2x + 6x = 8x 4 + 8x = 28 Solving 4 + 8x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8x = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 28 + -4 8x = 28 + -4 Combine like terms: 28 + -4 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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