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Simplifying (4x + -13y) + -1(-27x + 5y) = 0 Remove parenthesis around (4x + -13y) 4x + -13y + -1(-27x + 5y) = 0 4x + -13y + (-27x * -1 + 5y * -1) = 0 4x + -13y + (27x + -5y) = 0 Reorder the terms: 4x + 27x + -13y + -5y = 0 Combine like terms: 4x + 27x = 31x 31x + -13y + -5y = 0 Combine like terms: -13y + -5y = -18y 31x + -18y = 0 Solving 31x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y' to each side of the equation. 31x + -18y + 18y = 0 + 18y Combine like terms: -18y + 18y = 0 31x + 0 = 0 + 18y 31x = 0 + 18y Remove the zero: 31x = 18y Divide each side by '31'. x = 0.5806451613y Simplifying x = 0.5806451613y
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