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Simplifying 6x + -4 = 3x + 47 Reorder the terms: -4 + 6x = 3x + 47 Reorder the terms: -4 + 6x = 47 + 3x Solving -4 + 6x = 47 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 6x + -3x = 47 + 3x + -3x Combine like terms: 6x + -3x = 3x -4 + 3x = 47 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 3x = 47 + 0 -4 + 3x = 47 Add '4' to each side of the equation. -4 + 4 + 3x = 47 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 47 + 4 3x = 47 + 4 Combine like terms: 47 + 4 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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