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Simplifying 94 = 7(1 + 5x) + -6x 94 = (1 * 7 + 5x * 7) + -6x 94 = (7 + 35x) + -6x Combine like terms: 35x + -6x = 29x 94 = 7 + 29x Solving 94 = 7 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 94 + -29x = 7 + 29x + -29x Combine like terms: 29x + -29x = 0 94 + -29x = 7 + 0 94 + -29x = 7 Add '-94' to each side of the equation. 94 + -94 + -29x = 7 + -94 Combine like terms: 94 + -94 = 0 0 + -29x = 7 + -94 -29x = 7 + -94 Combine like terms: 7 + -94 = -87 -29x = -87 Divide each side by '-29'. x = 3 Simplifying x = 3
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