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Simplifying 4x + -3(y + -4) + 6 = 2x + -1y Reorder the terms: 4x + -3(-4 + y) + 6 = 2x + -1y 4x + (-4 * -3 + y * -3) + 6 = 2x + -1y 4x + (12 + -3y) + 6 = 2x + -1y Reorder the terms: 12 + 6 + 4x + -3y = 2x + -1y Combine like terms: 12 + 6 = 18 18 + 4x + -3y = 2x + -1y Solving 18 + 4x + -3y = 2x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + 4x + -2x + -3y = 2x + -2x + -1y Combine like terms: 4x + -2x = 2x 18 + 2x + -3y = 2x + -2x + -1y Combine like terms: 2x + -2x = 0 18 + 2x + -3y = 0 + -1y 18 + 2x + -3y = -1y Add '-18' to each side of the equation. 18 + 2x + -18 + -3y = -18 + -1y Reorder the terms: 18 + -18 + 2x + -3y = -18 + -1y Combine like terms: 18 + -18 = 0 0 + 2x + -3y = -18 + -1y 2x + -3y = -18 + -1y Add '3y' to each side of the equation. 2x + -3y + 3y = -18 + -1y + 3y Combine like terms: -3y + 3y = 0 2x + 0 = -18 + -1y + 3y 2x = -18 + -1y + 3y Combine like terms: -1y + 3y = 2y 2x = -18 + 2y Divide each side by '2'. x = -9 + y Simplifying x = -9 + y
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