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