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Simplifying 5(-2x + y) + -1(6x + 2) = -3 (-2x * 5 + y * 5) + -1(6x + 2) = -3 (-10x + 5y) + -1(6x + 2) = -3 Reorder the terms: -10x + 5y + -1(2 + 6x) = -3 -10x + 5y + (2 * -1 + 6x * -1) = -3 -10x + 5y + (-2 + -6x) = -3 Reorder the terms: -2 + -10x + -6x + 5y = -3 Combine like terms: -10x + -6x = -16x -2 + -16x + 5y = -3 Solving -2 + -16x + 5y = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -16x + 2 + 5y = -3 + 2 Reorder the terms: -2 + 2 + -16x + 5y = -3 + 2 Combine like terms: -2 + 2 = 0 0 + -16x + 5y = -3 + 2 -16x + 5y = -3 + 2 Combine like terms: -3 + 2 = -1 -16x + 5y = -1 Add '-5y' to each side of the equation. -16x + 5y + -5y = -1 + -5y Combine like terms: 5y + -5y = 0 -16x + 0 = -1 + -5y -16x = -1 + -5y Divide each side by '-16'. x = 0.0625 + 0.3125y Simplifying x = 0.0625 + 0.3125y
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