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Simplifying (3x + -5) + (2x + -3) + (15 + -1x) = 35 Reorder the terms: (-5 + 3x) + (2x + -3) + (15 + -1x) = 35 Remove parenthesis around (-5 + 3x) -5 + 3x + (2x + -3) + (15 + -1x) = 35 Reorder the terms: -5 + 3x + (-3 + 2x) + (15 + -1x) = 35 Remove parenthesis around (-3 + 2x) -5 + 3x + -3 + 2x + (15 + -1x) = 35 Remove parenthesis around (15 + -1x) -5 + 3x + -3 + 2x + 15 + -1x = 35 Reorder the terms: -5 + -3 + 15 + 3x + 2x + -1x = 35 Combine like terms: -5 + -3 = -8 -8 + 15 + 3x + 2x + -1x = 35 Combine like terms: -8 + 15 = 7 7 + 3x + 2x + -1x = 35 Combine like terms: 3x + 2x = 5x 7 + 5x + -1x = 35 Combine like terms: 5x + -1x = 4x 7 + 4x = 35 Solving 7 + 4x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 35 + -7 4x = 35 + -7 Combine like terms: 35 + -7 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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