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Simplifying (x * 13) + -174 = (x * 4) + -2 Reorder the terms for easier multiplication: (13x) + -174 = (x * 4) + -2 Reorder the terms: -174 + (13x) = (x * 4) + -2 Reorder the terms for easier multiplication: -174 + (13x) = (4x) + -2 Reorder the terms: -174 + (13x) = -2 + (4x) Solving -174 + (13x) = -2 + (4x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-4x)' to each side of the equation. -174 + (13x) + (-4x) = -2 + (4x) + (-4x) Combine like terms: (13x) + (-4x) = 9x -174 + 9x = -2 + (4x) + (-4x) Combine like terms: (4x) + (-4x) = 0 -174 + 9x = -2 + 0 -174 + 9x = -2 Add '174' to each side of the equation. -174 + 174 + 9x = -2 + 174 Combine like terms: -174 + 174 = 0 0 + 9x = -2 + 174 9x = -2 + 174 Combine like terms: -2 + 174 = 172 9x = 172 Divide each side by '9'. x = 19.11111111 Simplifying x = 19.11111111
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