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Simplifying 8x + 47 = 11x + -7 Reorder the terms: 47 + 8x = 11x + -7 Reorder the terms: 47 + 8x = -7 + 11x Solving 47 + 8x = -7 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 47 + 8x + -11x = -7 + 11x + -11x Combine like terms: 8x + -11x = -3x 47 + -3x = -7 + 11x + -11x Combine like terms: 11x + -11x = 0 47 + -3x = -7 + 0 47 + -3x = -7 Add '-47' to each side of the equation. 47 + -47 + -3x = -7 + -47 Combine like terms: 47 + -47 = 0 0 + -3x = -7 + -47 -3x = -7 + -47 Combine like terms: -7 + -47 = -54 -3x = -54 Divide each side by '-3'. x = 18 Simplifying x = 18
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