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Simplifying 5(-2 + y) + -1(6x + 2) = -3 (-2 * 5 + y * 5) + -1(6x + 2) = -3 (-10 + 5y) + -1(6x + 2) = -3 Reorder the terms: -10 + 5y + -1(2 + 6x) = -3 -10 + 5y + (2 * -1 + 6x * -1) = -3 -10 + 5y + (-2 + -6x) = -3 Reorder the terms: -10 + -2 + -6x + 5y = -3 Combine like terms: -10 + -2 = -12 -12 + -6x + 5y = -3 Solving -12 + -6x + 5y = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -6x + 12 + 5y = -3 + 12 Reorder the terms: -12 + 12 + -6x + 5y = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -6x + 5y = -3 + 12 -6x + 5y = -3 + 12 Combine like terms: -3 + 12 = 9 -6x + 5y = 9 Add '-5y' to each side of the equation. -6x + 5y + -5y = 9 + -5y Combine like terms: 5y + -5y = 0 -6x + 0 = 9 + -5y -6x = 9 + -5y Divide each side by '-6'. x = -1.5 + 0.8333333333y Simplifying x = -1.5 + 0.8333333333y
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