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Simplifying 4x + 6y + -8y = 6(x + -1) Combine like terms: 6y + -8y = -2y 4x + -2y = 6(x + -1) Reorder the terms: 4x + -2y = 6(-1 + x) 4x + -2y = (-1 * 6 + x * 6) 4x + -2y = (-6 + 6x) Solving 4x + -2y = -6 + 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. 4x + -6x + -2y = -6 + 6x + -6x Combine like terms: 4x + -6x = -2x -2x + -2y = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -2x + -2y = -6 + 0 -2x + -2y = -6 Add '2y' to each side of the equation. -2x + -2y + 2y = -6 + 2y Combine like terms: -2y + 2y = 0 -2x + 0 = -6 + 2y -2x = -6 + 2y Divide each side by '-2'. x = 3 + -1y Simplifying x = 3 + -1y
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