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Simplifying (9x + -42) = (x + 15) Reorder the terms: (-42 + 9x) = (x + 15) Remove parenthesis around (-42 + 9x) -42 + 9x = (x + 15) Reorder the terms: -42 + 9x = (15 + x) Remove parenthesis around (15 + x) -42 + 9x = 15 + x Solving -42 + 9x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -42 + 9x + -1x = 15 + x + -1x Combine like terms: 9x + -1x = 8x -42 + 8x = 15 + x + -1x Combine like terms: x + -1x = 0 -42 + 8x = 15 + 0 -42 + 8x = 15 Add '42' to each side of the equation. -42 + 42 + 8x = 15 + 42 Combine like terms: -42 + 42 = 0 0 + 8x = 15 + 42 8x = 15 + 42 Combine like terms: 15 + 42 = 57 8x = 57 Divide each side by '8'. x = 7.125 Simplifying x = 7.125
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