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Simplifying (2x + -5) + 1 = 7x + -3x + 15 Reorder the terms: (-5 + 2x) + 1 = 7x + -3x + 15 Remove parenthesis around (-5 + 2x) -5 + 2x + 1 = 7x + -3x + 15 Reorder the terms: -5 + 1 + 2x = 7x + -3x + 15 Combine like terms: -5 + 1 = -4 -4 + 2x = 7x + -3x + 15 Reorder the terms: -4 + 2x = 15 + 7x + -3x Combine like terms: 7x + -3x = 4x -4 + 2x = 15 + 4x Solving -4 + 2x = 15 + 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. -4 + 2x + -4x = 15 + 4x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -2x = 15 + 0 -4 + -2x = 15 Add '4' to each side of the equation. -4 + 4 + -2x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 15 + 4 -2x = 15 + 4 Combine like terms: 15 + 4 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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