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Simplifying 6x + -3(y + -1) = 4x + 8 Reorder the terms: 6x + -3(-1 + y) = 4x + 8 6x + (-1 * -3 + y * -3) = 4x + 8 6x + (3 + -3y) = 4x + 8 Reorder the terms: 3 + 6x + -3y = 4x + 8 Reorder the terms: 3 + 6x + -3y = 8 + 4x Solving 3 + 6x + -3y = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 6x + -4x + -3y = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x 3 + 2x + -3y = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 2x + -3y = 8 + 0 3 + 2x + -3y = 8 Add '-3' to each side of the equation. 3 + 2x + -3 + -3y = 8 + -3 Reorder the terms: 3 + -3 + 2x + -3y = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 2x + -3y = 8 + -3 2x + -3y = 8 + -3 Combine like terms: 8 + -3 = 5 2x + -3y = 5 Add '3y' to each side of the equation. 2x + -3y + 3y = 5 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 5 + 3y 2x = 5 + 3y Divide each side by '2'. x = 2.5 + 1.5y Simplifying x = 2.5 + 1.5y
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