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Simplifying 34 + 3a = -7(1 + x) * 10x Reorder the terms for easier multiplication: 34 + 3a = -7 * 10x(1 + x) Multiply -7 * 10 34 + 3a = -70x(1 + x) 34 + 3a = (1 * -70x + x * -70x) 34 + 3a = (-70x + -70x2) Solving 34 + 3a = -70x + -70x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 3a = -70x + -34 + -70x2 Combine like terms: 34 + -34 = 0 0 + 3a = -70x + -34 + -70x2 3a = -70x + -34 + -70x2 Reorder the terms: 3a = -34 + -70x + -70x2 Divide each side by '3'. a = -11.33333333 + -23.33333333x + -23.33333333x2 Simplifying a = -11.33333333 + -23.33333333x + -23.33333333x2
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