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Simplifying 2(5x + 1) + -3(2x + -2) = 28 Reorder the terms: 2(1 + 5x) + -3(2x + -2) = 28 (1 * 2 + 5x * 2) + -3(2x + -2) = 28 (2 + 10x) + -3(2x + -2) = 28 Reorder the terms: 2 + 10x + -3(-2 + 2x) = 28 2 + 10x + (-2 * -3 + 2x * -3) = 28 2 + 10x + (6 + -6x) = 28 Reorder the terms: 2 + 6 + 10x + -6x = 28 Combine like terms: 2 + 6 = 8 8 + 10x + -6x = 28 Combine like terms: 10x + -6x = 4x 8 + 4x = 28 Solving 8 + 4x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 28 + -8 4x = 28 + -8 Combine like terms: 28 + -8 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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