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Simplifying (3x + 17) = (7x + -15) Reorder the terms: (17 + 3x) = (7x + -15) Remove parenthesis around (17 + 3x) 17 + 3x = (7x + -15) Reorder the terms: 17 + 3x = (-15 + 7x) Remove parenthesis around (-15 + 7x) 17 + 3x = -15 + 7x Solving 17 + 3x = -15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 17 + 3x + -7x = -15 + 7x + -7x Combine like terms: 3x + -7x = -4x 17 + -4x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 17 + -4x = -15 + 0 17 + -4x = -15 Add '-17' to each side of the equation. 17 + -17 + -4x = -15 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = -15 + -17 -4x = -15 + -17 Combine like terms: -15 + -17 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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