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Simplifying 6y + -5(1 + -3x) = 1 + -3(1 + -2x) 6y + (1 * -5 + -3x * -5) = 1 + -3(1 + -2x) 6y + (-5 + 15x) = 1 + -3(1 + -2x) Reorder the terms: -5 + 15x + 6y = 1 + -3(1 + -2x) -5 + 15x + 6y = 1 + (1 * -3 + -2x * -3) -5 + 15x + 6y = 1 + (-3 + 6x) Combine like terms: 1 + -3 = -2 -5 + 15x + 6y = -2 + 6x Solving -5 + 15x + 6y = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 15x + -6x + 6y = -2 + 6x + -6x Combine like terms: 15x + -6x = 9x -5 + 9x + 6y = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 9x + 6y = -2 + 0 -5 + 9x + 6y = -2 Add '5' to each side of the equation. -5 + 9x + 5 + 6y = -2 + 5 Reorder the terms: -5 + 5 + 9x + 6y = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 9x + 6y = -2 + 5 9x + 6y = -2 + 5 Combine like terms: -2 + 5 = 3 9x + 6y = 3 Add '-6y' to each side of the equation. 9x + 6y + -6y = 3 + -6y Combine like terms: 6y + -6y = 0 9x + 0 = 3 + -6y 9x = 3 + -6y Divide each side by '9'. x = 0.3333333333 + -0.6666666667y Simplifying x = 0.3333333333 + -0.6666666667y
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