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Simplifying (2x + 13) * 2 = 10 + 8x Reorder the terms: (13 + 2x) * 2 = 10 + 8x Reorder the terms for easier multiplication: 2(13 + 2x) = 10 + 8x (13 * 2 + 2x * 2) = 10 + 8x (26 + 4x) = 10 + 8x Solving 26 + 4x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 26 + 4x + -8x = 10 + 8x + -8x Combine like terms: 4x + -8x = -4x 26 + -4x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + -4x = 10 + 0 26 + -4x = 10 Add '-26' to each side of the equation. 26 + -26 + -4x = 10 + -26 Combine like terms: 26 + -26 = 0 0 + -4x = 10 + -26 -4x = 10 + -26 Combine like terms: 10 + -26 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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