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Simplifying 4a(x) + 7b(x) = 7.5 Multiply a * x 4ax + 7b(x) = 7.5 Multiply b * x 4ax + 7bx = 7.5 Solving 4ax + 7bx = 7.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7bx' to each side of the equation. 4ax + 7bx + -7bx = 7.5 + -7bx Combine like terms: 7bx + -7bx = 0 4ax + 0 = 7.5 + -7bx 4ax = 7.5 + -7bx Divide each side by '4x'. a = 1.875x-1 + -1.75b Simplifying a = 1.875x-1 + -1.75b Reorder the terms: a = -1.75b + 1.875x-1
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