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Simplifying 3x + -1(4y + 6) = 2y + -1(x + 18) Reorder the terms: 3x + -1(6 + 4y) = 2y + -1(x + 18) 3x + (6 * -1 + 4y * -1) = 2y + -1(x + 18) 3x + (-6 + -4y) = 2y + -1(x + 18) Reorder the terms: -6 + 3x + -4y = 2y + -1(x + 18) Reorder the terms: -6 + 3x + -4y = 2y + -1(18 + x) -6 + 3x + -4y = 2y + (18 * -1 + x * -1) -6 + 3x + -4y = 2y + (-18 + -1x) Reorder the terms: -6 + 3x + -4y = -18 + -1x + 2y Solving -6 + 3x + -4y = -18 + -1x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 3x + x + -4y = -18 + -1x + x + 2y Combine like terms: 3x + x = 4x -6 + 4x + -4y = -18 + -1x + x + 2y Combine like terms: -1x + x = 0 -6 + 4x + -4y = -18 + 0 + 2y -6 + 4x + -4y = -18 + 2y Add '6' to each side of the equation. -6 + 4x + 6 + -4y = -18 + 6 + 2y Reorder the terms: -6 + 6 + 4x + -4y = -18 + 6 + 2y Combine like terms: -6 + 6 = 0 0 + 4x + -4y = -18 + 6 + 2y 4x + -4y = -18 + 6 + 2y Combine like terms: -18 + 6 = -12 4x + -4y = -12 + 2y Add '4y' to each side of the equation. 4x + -4y + 4y = -12 + 2y + 4y Combine like terms: -4y + 4y = 0 4x + 0 = -12 + 2y + 4y 4x = -12 + 2y + 4y Combine like terms: 2y + 4y = 6y 4x = -12 + 6y Divide each side by '4'. x = -3 + 1.5y Simplifying x = -3 + 1.5y
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