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Simplifying 2x + -3y + 5 + -1(x + -3y) = 11 + -2x 2x + -3y + 5 + (x * -1 + -3y * -1) = 11 + -2x 2x + -3y + 5 + (-1x + 3y) = 11 + -2x Reorder the terms: 5 + 2x + -1x + -3y + 3y = 11 + -2x Combine like terms: 2x + -1x = 1x 5 + 1x + -3y + 3y = 11 + -2x Combine like terms: -3y + 3y = 0 5 + 1x + 0 = 11 + -2x 5 + 1x = 11 + -2x Solving 5 + 1x = 11 + -2x 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. 5 + 1x + 2x = 11 + -2x + 2x Combine like terms: 1x + 2x = 3x 5 + 3x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 3x = 11 + 0 5 + 3x = 11 Add '-5' to each side of the equation. 5 + -5 + 3x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 11 + -5 3x = 11 + -5 Combine like terms: 11 + -5 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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