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Simplifying 2(x + 3) + -1(x + -5) = x + -5 + -3(x + 2) + 4x Reorder the terms: 2(3 + x) + -1(x + -5) = x + -5 + -3(x + 2) + 4x (3 * 2 + x * 2) + -1(x + -5) = x + -5 + -3(x + 2) + 4x (6 + 2x) + -1(x + -5) = x + -5 + -3(x + 2) + 4x Reorder the terms: 6 + 2x + -1(-5 + x) = x + -5 + -3(x + 2) + 4x 6 + 2x + (-5 * -1 + x * -1) = x + -5 + -3(x + 2) + 4x 6 + 2x + (5 + -1x) = x + -5 + -3(x + 2) + 4x Reorder the terms: 6 + 5 + 2x + -1x = x + -5 + -3(x + 2) + 4x Combine like terms: 6 + 5 = 11 11 + 2x + -1x = x + -5 + -3(x + 2) + 4x Combine like terms: 2x + -1x = 1x 11 + 1x = x + -5 + -3(x + 2) + 4x Reorder the terms: 11 + 1x = x + -5 + -3(2 + x) + 4x 11 + 1x = x + -5 + (2 * -3 + x * -3) + 4x 11 + 1x = x + -5 + (-6 + -3x) + 4x Reorder the terms: 11 + 1x = -5 + -6 + x + -3x + 4x Combine like terms: -5 + -6 = -11 11 + 1x = -11 + x + -3x + 4x Combine like terms: x + -3x = -2x 11 + 1x = -11 + -2x + 4x Combine like terms: -2x + 4x = 2x 11 + 1x = -11 + 2x Solving 11 + 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. 11 + 1x + -2x = -11 + 2x + -2x Combine like terms: 1x + -2x = -1x 11 + -1x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + -1x = -11 + 0 11 + -1x = -11 Add '-11' to each side of the equation. 11 + -11 + -1x = -11 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -11 + -11 -1x = -11 + -11 Combine like terms: -11 + -11 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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