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Simplifying 118 = 5x + 6(7x + 4) Reorder the terms: 118 = 5x + 6(4 + 7x) 118 = 5x + (4 * 6 + 7x * 6) 118 = 5x + (24 + 42x) Reorder the terms: 118 = 24 + 5x + 42x Combine like terms: 5x + 42x = 47x 118 = 24 + 47x Solving 118 = 24 + 47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. 118 + -47x = 24 + 47x + -47x Combine like terms: 47x + -47x = 0 118 + -47x = 24 + 0 118 + -47x = 24 Add '-118' to each side of the equation. 118 + -118 + -47x = 24 + -118 Combine like terms: 118 + -118 = 0 0 + -47x = 24 + -118 -47x = 24 + -118 Combine like terms: 24 + -118 = -94 -47x = -94 Divide each side by '-47'. x = 2 Simplifying x = 2
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