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Simplifying 7x + -2 = 4x + -47 Reorder the terms: -2 + 7x = 4x + -47 Reorder the terms: -2 + 7x = -47 + 4x Solving -2 + 7x = -47 + 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. -2 + 7x + -4x = -47 + 4x + -4x Combine like terms: 7x + -4x = 3x -2 + 3x = -47 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 3x = -47 + 0 -2 + 3x = -47 Add '2' to each side of the equation. -2 + 2 + 3x = -47 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -47 + 2 3x = -47 + 2 Combine like terms: -47 + 2 = -45 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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