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Simplifying 7x + 5 + -2x + 8(x + -3) = 4x + -1[5x + -1(2 + 3x)] Reorder the terms: 7x + 5 + -2x + 8(-3 + x) = 4x + -1[5x + -1(2 + 3x)] 7x + 5 + -2x + (-3 * 8 + x * 8) = 4x + -1[5x + -1(2 + 3x)] 7x + 5 + -2x + (-24 + 8x) = 4x + -1[5x + -1(2 + 3x)] Reorder the terms: 5 + -24 + 7x + -2x + 8x = 4x + -1[5x + -1(2 + 3x)] Combine like terms: 5 + -24 = -19 -19 + 7x + -2x + 8x = 4x + -1[5x + -1(2 + 3x)] Combine like terms: 7x + -2x = 5x -19 + 5x + 8x = 4x + -1[5x + -1(2 + 3x)] Combine like terms: 5x + 8x = 13x -19 + 13x = 4x + -1[5x + -1(2 + 3x)] -19 + 13x = 4x + -1[5x + (2 * -1 + 3x * -1)] -19 + 13x = 4x + -1[5x + (-2 + -3x)] Reorder the terms: -19 + 13x = 4x + -1[-2 + 5x + -3x] Combine like terms: 5x + -3x = 2x -19 + 13x = 4x + -1[-2 + 2x] -19 + 13x = 4x + [-2 * -1 + 2x * -1] -19 + 13x = 4x + [2 + -2x] Reorder the terms: -19 + 13x = 2 + 4x + -2x Combine like terms: 4x + -2x = 2x -19 + 13x = 2 + 2x Solving -19 + 13x = 2 + 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. -19 + 13x + -2x = 2 + 2x + -2x Combine like terms: 13x + -2x = 11x -19 + 11x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 11x = 2 + 0 -19 + 11x = 2 Add '19' to each side of the equation. -19 + 19 + 11x = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 11x = 2 + 19 11x = 2 + 19 Combine like terms: 2 + 19 = 21 11x = 21 Divide each side by '11'. x = 1.909090909 Simplifying x = 1.909090909
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