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Simplifying 47 + -4x = 7 + -12x Solving 47 + -4x = 7 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 47 + -4x + 12x = 7 + -12x + 12x Combine like terms: -4x + 12x = 8x 47 + 8x = 7 + -12x + 12x Combine like terms: -12x + 12x = 0 47 + 8x = 7 + 0 47 + 8x = 7 Add '-47' to each side of the equation. 47 + -47 + 8x = 7 + -47 Combine like terms: 47 + -47 = 0 0 + 8x = 7 + -47 8x = 7 + -47 Combine like terms: 7 + -47 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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