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