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Simplifying (7x + 59) = (8x + 46) Reorder the terms: (59 + 7x) = (8x + 46) Remove parenthesis around (59 + 7x) 59 + 7x = (8x + 46) Reorder the terms: 59 + 7x = (46 + 8x) Remove parenthesis around (46 + 8x) 59 + 7x = 46 + 8x Solving 59 + 7x = 46 + 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. 59 + 7x + -8x = 46 + 8x + -8x Combine like terms: 7x + -8x = -1x 59 + -1x = 46 + 8x + -8x Combine like terms: 8x + -8x = 0 59 + -1x = 46 + 0 59 + -1x = 46 Add '-59' to each side of the equation. 59 + -59 + -1x = 46 + -59 Combine like terms: 59 + -59 = 0 0 + -1x = 46 + -59 -1x = 46 + -59 Combine like terms: 46 + -59 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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