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Simplifying 5x + -1(2atc) = 4(x + c) Remove parenthesis around (2act) 5x + -1 * 2act = 4(x + c) Multiply -1 * 2 5x + -2act = 4(x + c) Reorder the terms: -2act + 5x = 4(x + c) Reorder the terms: -2act + 5x = 4(c + x) -2act + 5x = (c * 4 + x * 4) -2act + 5x = (4c + 4x) Solving -2act + 5x = 4c + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5x' to each side of the equation. -2act + 5x + -5x = 4c + 4x + -5x Combine like terms: 5x + -5x = 0 -2act + 0 = 4c + 4x + -5x -2act = 4c + 4x + -5x Combine like terms: 4x + -5x = -1x -2act = 4c + -1x Divide each side by '-2ct'. a = -2t-1 + 0.5c-1t-1x Simplifying a = -2t-1 + 0.5c-1t-1x Reorder the terms: a = 0.5c-1t-1x + -2t-1
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