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Simplifying -2x + 2(4x + 26) = 10 Reorder the terms: -2x + 2(26 + 4x) = 10 -2x + (26 * 2 + 4x * 2) = 10 -2x + (52 + 8x) = 10 Reorder the terms: 52 + -2x + 8x = 10 Combine like terms: -2x + 8x = 6x 52 + 6x = 10 Solving 52 + 6x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 6x = 10 + -52 Combine like terms: 52 + -52 = 0 0 + 6x = 10 + -52 6x = 10 + -52 Combine like terms: 10 + -52 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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