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