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Simplifying (3x + -53) = (2x + -17) Reorder the terms: (-53 + 3x) = (2x + -17) Remove parenthesis around (-53 + 3x) -53 + 3x = (2x + -17) Reorder the terms: -53 + 3x = (-17 + 2x) Remove parenthesis around (-17 + 2x) -53 + 3x = -17 + 2x Solving -53 + 3x = -17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -53 + 3x + -2x = -17 + 2x + -2x Combine like terms: 3x + -2x = 1x -53 + 1x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 -53 + 1x = -17 + 0 -53 + 1x = -17 Add '53' to each side of the equation. -53 + 53 + 1x = -17 + 53 Combine like terms: -53 + 53 = 0 0 + 1x = -17 + 53 1x = -17 + 53 Combine like terms: -17 + 53 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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