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Simplifying 2[x + -2(x + -1)] + -3(3y + -5) = -11 Reorder the terms: 2[x + -2(-1 + x)] + -3(3y + -5) = -11 2[x + (-1 * -2 + x * -2)] + -3(3y + -5) = -11 2[x + (2 + -2x)] + -3(3y + -5) = -11 Reorder the terms: 2[2 + x + -2x] + -3(3y + -5) = -11 Combine like terms: x + -2x = -1x 2[2 + -1x] + -3(3y + -5) = -11 [2 * 2 + -1x * 2] + -3(3y + -5) = -11 [4 + -2x] + -3(3y + -5) = -11 Reorder the terms: 4 + -2x + -3(-5 + 3y) = -11 4 + -2x + (-5 * -3 + 3y * -3) = -11 4 + -2x + (15 + -9y) = -11 Reorder the terms: 4 + 15 + -2x + -9y = -11 Combine like terms: 4 + 15 = 19 19 + -2x + -9y = -11 Solving 19 + -2x + -9y = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -2x + -19 + -9y = -11 + -19 Reorder the terms: 19 + -19 + -2x + -9y = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -2x + -9y = -11 + -19 -2x + -9y = -11 + -19 Combine like terms: -11 + -19 = -30 -2x + -9y = -30 Add '9y' to each side of the equation. -2x + -9y + 9y = -30 + 9y Combine like terms: -9y + 9y = 0 -2x + 0 = -30 + 9y -2x = -30 + 9y Divide each side by '-2'. x = 15 + -4.5y Simplifying x = 15 + -4.5y
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