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Simplifying -47 + 4x = 34 + 7x Solving -47 + 4x = 34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -47 + 4x + -7x = 34 + 7x + -7x Combine like terms: 4x + -7x = -3x -47 + -3x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 -47 + -3x = 34 + 0 -47 + -3x = 34 Add '47' to each side of the equation. -47 + 47 + -3x = 34 + 47 Combine like terms: -47 + 47 = 0 0 + -3x = 34 + 47 -3x = 34 + 47 Combine like terms: 34 + 47 = 81 -3x = 81 Divide each side by '-3'. x = -27 Simplifying x = -27
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