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Simplifying 47 + -3x = 7 + -7x Solving 47 + -3x = 7 + -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 + -3x + 7x = 7 + -7x + 7x Combine like terms: -3x + 7x = 4x 47 + 4x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 47 + 4x = 7 + 0 47 + 4x = 7 Add '-47' to each side of the equation. 47 + -47 + 4x = 7 + -47 Combine like terms: 47 + -47 = 0 0 + 4x = 7 + -47 4x = 7 + -47 Combine like terms: 7 + -47 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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