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Simplifying 2(3x + 5) + 2(x + -2) = 102 Reorder the terms: 2(5 + 3x) + 2(x + -2) = 102 (5 * 2 + 3x * 2) + 2(x + -2) = 102 (10 + 6x) + 2(x + -2) = 102 Reorder the terms: 10 + 6x + 2(-2 + x) = 102 10 + 6x + (-2 * 2 + x * 2) = 102 10 + 6x + (-4 + 2x) = 102 Reorder the terms: 10 + -4 + 6x + 2x = 102 Combine like terms: 10 + -4 = 6 6 + 6x + 2x = 102 Combine like terms: 6x + 2x = 8x 6 + 8x = 102 Solving 6 + 8x = 102 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 + 8x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 102 + -6 8x = 102 + -6 Combine like terms: 102 + -6 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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