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Simplifying 5(3x + 4y) = 2(x + -1y) (3x * 5 + 4y * 5) = 2(x + -1y) (15x + 20y) = 2(x + -1y) 15x + 20y = (x * 2 + -1y * 2) 15x + 20y = (2x + -2y) Solving 15x + 20y = 2x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15x + -2x + 20y = 2x + -2x + -2y Combine like terms: 15x + -2x = 13x 13x + 20y = 2x + -2x + -2y Combine like terms: 2x + -2x = 0 13x + 20y = 0 + -2y 13x + 20y = -2y Add '-20y' to each side of the equation. 13x + 20y + -20y = -2y + -20y Combine like terms: 20y + -20y = 0 13x + 0 = -2y + -20y 13x = -2y + -20y Combine like terms: -2y + -20y = -22y 13x = -22y Divide each side by '13'. x = -1.692307692y Simplifying x = -1.692307692y
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