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Simplifying (3x) + -5 = (4x) + 7 Reorder the terms: -5 + (3x) = (4x) + 7 Reorder the terms: -5 + (3x) = 7 + (4x) Solving -5 + (3x) = 7 + (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. -5 + (3x) + (-4x) = 7 + (4x) + (-4x) Combine like terms: (3x) + (-4x) = -1x -5 + -1x = 7 + (4x) + (-4x) Combine like terms: (4x) + (-4x) = 0 -5 + -1x = 7 + 0 -5 + -1x = 7 Add '5' to each side of the equation. -5 + 5 + -1x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 7 + 5 -1x = 7 + 5 Combine like terms: 7 + 5 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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