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Simplifying 4(x + -1y) + 3(2x + -1y) = -4 (x * 4 + -1y * 4) + 3(2x + -1y) = -4 (4x + -4y) + 3(2x + -1y) = -4 4x + -4y + (2x * 3 + -1y * 3) = -4 4x + -4y + (6x + -3y) = -4 Reorder the terms: 4x + 6x + -4y + -3y = -4 Combine like terms: 4x + 6x = 10x 10x + -4y + -3y = -4 Combine like terms: -4y + -3y = -7y 10x + -7y = -4 Solving 10x + -7y = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 10x + -7y + 7y = -4 + 7y Combine like terms: -7y + 7y = 0 10x + 0 = -4 + 7y 10x = -4 + 7y Divide each side by '10'. x = -0.4 + 0.7y Simplifying x = -0.4 + 0.7y
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