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Simplifying 2(x + -3) + -1(2x + -3) = 2(4x + 5) + 11 Reorder the terms: 2(-3 + x) + -1(2x + -3) = 2(4x + 5) + 11 (-3 * 2 + x * 2) + -1(2x + -3) = 2(4x + 5) + 11 (-6 + 2x) + -1(2x + -3) = 2(4x + 5) + 11 Reorder the terms: -6 + 2x + -1(-3 + 2x) = 2(4x + 5) + 11 -6 + 2x + (-3 * -1 + 2x * -1) = 2(4x + 5) + 11 -6 + 2x + (3 + -2x) = 2(4x + 5) + 11 Reorder the terms: -6 + 3 + 2x + -2x = 2(4x + 5) + 11 Combine like terms: -6 + 3 = -3 -3 + 2x + -2x = 2(4x + 5) + 11 Combine like terms: 2x + -2x = 0 -3 + 0 = 2(4x + 5) + 11 -3 = 2(4x + 5) + 11 Reorder the terms: -3 = 2(5 + 4x) + 11 -3 = (5 * 2 + 4x * 2) + 11 -3 = (10 + 8x) + 11 Reorder the terms: -3 = 10 + 11 + 8x Combine like terms: 10 + 11 = 21 -3 = 21 + 8x Solving -3 = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + -8x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -8x = 21 + 0 -3 + -8x = 21 Add '3' to each side of the equation. -3 + 3 + -8x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 21 + 3 -8x = 21 + 3 Combine like terms: 21 + 3 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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