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Simplifying 438 = -2 + 8(6 + 7x) 438 = -2 + (6 * 8 + 7x * 8) 438 = -2 + (48 + 56x) Combine like terms: -2 + 48 = 46 438 = 46 + 56x Solving 438 = 46 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 438 + -56x = 46 + 56x + -56x Combine like terms: 56x + -56x = 0 438 + -56x = 46 + 0 438 + -56x = 46 Add '-438' to each side of the equation. 438 + -438 + -56x = 46 + -438 Combine like terms: 438 + -438 = 0 0 + -56x = 46 + -438 -56x = 46 + -438 Combine like terms: 46 + -438 = -392 -56x = -392 Divide each side by '-56'. x = 7 Simplifying x = 7
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