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Simplifying 3x + -1(x + 2) = 8x + 13(3 + -2x) + -11 Reorder the terms: 3x + -1(2 + x) = 8x + 13(3 + -2x) + -11 3x + (2 * -1 + x * -1) = 8x + 13(3 + -2x) + -11 3x + (-2 + -1x) = 8x + 13(3 + -2x) + -11 Reorder the terms: -2 + 3x + -1x = 8x + 13(3 + -2x) + -11 Combine like terms: 3x + -1x = 2x -2 + 2x = 8x + 13(3 + -2x) + -11 -2 + 2x = 8x + (3 * 13 + -2x * 13) + -11 -2 + 2x = 8x + (39 + -26x) + -11 Reorder the terms: -2 + 2x = 39 + -11 + 8x + -26x Combine like terms: 39 + -11 = 28 -2 + 2x = 28 + 8x + -26x Combine like terms: 8x + -26x = -18x -2 + 2x = 28 + -18x Solving -2 + 2x = 28 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -2 + 2x + 18x = 28 + -18x + 18x Combine like terms: 2x + 18x = 20x -2 + 20x = 28 + -18x + 18x Combine like terms: -18x + 18x = 0 -2 + 20x = 28 + 0 -2 + 20x = 28 Add '2' to each side of the equation. -2 + 2 + 20x = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 20x = 28 + 2 20x = 28 + 2 Combine like terms: 28 + 2 = 30 20x = 30 Divide each side by '20'. x = 1.5 Simplifying x = 1.5
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