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Simplifying 3y + -5 + 4(x + -1y) = 6x 3y + -5 + (x * 4 + -1y * 4) = 6x 3y + -5 + (4x + -4y) = 6x Reorder the terms: -5 + 4x + 3y + -4y = 6x Combine like terms: 3y + -4y = -1y -5 + 4x + -1y = 6x Solving -5 + 4x + -1y = 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 + 4x + -6x + -1y = 6x + -6x Combine like terms: 4x + -6x = -2x -5 + -2x + -1y = 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -2x + -1y = 0 Add '5' to each side of the equation. -5 + -2x + 5 + -1y = 0 + 5 Reorder the terms: -5 + 5 + -2x + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x + -1y = 0 + 5 -2x + -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -2x + -1y = 5 Add 'y' to each side of the equation. -2x + -1y + y = 5 + y Combine like terms: -1y + y = 0 -2x + 0 = 5 + y -2x = 5 + y Divide each side by '-2'. x = -2.5 + -0.5y Simplifying x = -2.5 + -0.5y
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