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Simplifying (3x + 5) + (-4x + 7) = 0 Reorder the terms: (5 + 3x) + (-4x + 7) = 0 Remove parenthesis around (5 + 3x) 5 + 3x + (-4x + 7) = 0 Reorder the terms: 5 + 3x + (7 + -4x) = 0 Remove parenthesis around (7 + -4x) 5 + 3x + 7 + -4x = 0 Reorder the terms: 5 + 7 + 3x + -4x = 0 Combine like terms: 5 + 7 = 12 12 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 12 + -1x = 0 Solving 12 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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