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Simplifying 52 = 6x + 2(5 + -1x + 8) Reorder the terms: 52 = 6x + 2(5 + 8 + -1x) Combine like terms: 5 + 8 = 13 52 = 6x + 2(13 + -1x) 52 = 6x + (13 * 2 + -1x * 2) 52 = 6x + (26 + -2x) Reorder the terms: 52 = 26 + 6x + -2x Combine like terms: 6x + -2x = 4x 52 = 26 + 4x Solving 52 = 26 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 52 + -4x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 52 + -4x = 26 + 0 52 + -4x = 26 Add '-52' to each side of the equation. 52 + -52 + -4x = 26 + -52 Combine like terms: 52 + -52 = 0 0 + -4x = 26 + -52 -4x = 26 + -52 Combine like terms: 26 + -52 = -26 -4x = -26 Divide each side by '-4'. x = 6.5 Simplifying x = 6.5
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