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Simplifying 4 + 6(7 + 6x) = 18 + 8x 4 + (7 * 6 + 6x * 6) = 18 + 8x 4 + (42 + 36x) = 18 + 8x Combine like terms: 4 + 42 = 46 46 + 36x = 18 + 8x Solving 46 + 36x = 18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 46 + 36x + -8x = 18 + 8x + -8x Combine like terms: 36x + -8x = 28x 46 + 28x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + 28x = 18 + 0 46 + 28x = 18 Add '-46' to each side of the equation. 46 + -46 + 28x = 18 + -46 Combine like terms: 46 + -46 = 0 0 + 28x = 18 + -46 28x = 18 + -46 Combine like terms: 18 + -46 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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