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Simplifying 47 + x = 5(7 + x) 47 + x = (7 * 5 + x * 5) 47 + x = (35 + 5x) Solving 47 + x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 47 + x + -5x = 35 + 5x + -5x Combine like terms: x + -5x = -4x 47 + -4x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 47 + -4x = 35 + 0 47 + -4x = 35 Add '-47' to each side of the equation. 47 + -47 + -4x = 35 + -47 Combine like terms: 47 + -47 = 0 0 + -4x = 35 + -47 -4x = 35 + -47 Combine like terms: 35 + -47 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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