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Simplifying 5(3x + -1y) = x + 3 (3x * 5 + -1y * 5) = x + 3 (15x + -5y) = x + 3 Reorder the terms: 15x + -5y = 3 + x Solving 15x + -5y = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15x + -1x + -5y = 3 + x + -1x Combine like terms: 15x + -1x = 14x 14x + -5y = 3 + x + -1x Combine like terms: x + -1x = 0 14x + -5y = 3 + 0 14x + -5y = 3 Add '5y' to each side of the equation. 14x + -5y + 5y = 3 + 5y Combine like terms: -5y + 5y = 0 14x + 0 = 3 + 5y 14x = 3 + 5y Divide each side by '14'. x = 0.2142857143 + 0.3571428571y Simplifying x = 0.2142857143 + 0.3571428571y
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