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Simplifying (3x + -5) + (-5x + 12) = 0 Reorder the terms: (-5 + 3x) + (-5x + 12) = 0 Remove parenthesis around (-5 + 3x) -5 + 3x + (-5x + 12) = 0 Reorder the terms: -5 + 3x + (12 + -5x) = 0 Remove parenthesis around (12 + -5x) -5 + 3x + 12 + -5x = 0 Reorder the terms: -5 + 12 + 3x + -5x = 0 Combine like terms: -5 + 12 = 7 7 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 7 + -2x = 0 Solving 7 + -2x = 0 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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