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Simplifying 312 = 8(4 + 7x) 312 = (4 * 8 + 7x * 8) 312 = (32 + 56x) Solving 312 = 32 + 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. 312 + -56x = 32 + 56x + -56x Combine like terms: 56x + -56x = 0 312 + -56x = 32 + 0 312 + -56x = 32 Add '-312' to each side of the equation. 312 + -312 + -56x = 32 + -312 Combine like terms: 312 + -312 = 0 0 + -56x = 32 + -312 -56x = 32 + -312 Combine like terms: 32 + -312 = -280 -56x = -280 Divide each side by '-56'. x = 5 Simplifying x = 5
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