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Simplifying 114 = 6(5 + 7x) 114 = (5 * 6 + 7x * 6) 114 = (30 + 42x) Solving 114 = 30 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 114 + -42x = 30 + 42x + -42x Combine like terms: 42x + -42x = 0 114 + -42x = 30 + 0 114 + -42x = 30 Add '-114' to each side of the equation. 114 + -114 + -42x = 30 + -114 Combine like terms: 114 + -114 = 0 0 + -42x = 30 + -114 -42x = 30 + -114 Combine like terms: 30 + -114 = -84 -42x = -84 Divide each side by '-42'. x = 2 Simplifying x = 2
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