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Simplifying -3(x + -3) + 4(2x + 9) + -6 = 5 + -8(6 + -5x) + 2 Reorder the terms: -3(-3 + x) + 4(2x + 9) + -6 = 5 + -8(6 + -5x) + 2 (-3 * -3 + x * -3) + 4(2x + 9) + -6 = 5 + -8(6 + -5x) + 2 (9 + -3x) + 4(2x + 9) + -6 = 5 + -8(6 + -5x) + 2 Reorder the terms: 9 + -3x + 4(9 + 2x) + -6 = 5 + -8(6 + -5x) + 2 9 + -3x + (9 * 4 + 2x * 4) + -6 = 5 + -8(6 + -5x) + 2 9 + -3x + (36 + 8x) + -6 = 5 + -8(6 + -5x) + 2 Reorder the terms: 9 + 36 + -6 + -3x + 8x = 5 + -8(6 + -5x) + 2 Combine like terms: 9 + 36 = 45 45 + -6 + -3x + 8x = 5 + -8(6 + -5x) + 2 Combine like terms: 45 + -6 = 39 39 + -3x + 8x = 5 + -8(6 + -5x) + 2 Combine like terms: -3x + 8x = 5x 39 + 5x = 5 + -8(6 + -5x) + 2 39 + 5x = 5 + (6 * -8 + -5x * -8) + 2 39 + 5x = 5 + (-48 + 40x) + 2 Reorder the terms: 39 + 5x = 5 + -48 + 2 + 40x Combine like terms: 5 + -48 = -43 39 + 5x = -43 + 2 + 40x Combine like terms: -43 + 2 = -41 39 + 5x = -41 + 40x Solving 39 + 5x = -41 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 39 + 5x + -40x = -41 + 40x + -40x Combine like terms: 5x + -40x = -35x 39 + -35x = -41 + 40x + -40x Combine like terms: 40x + -40x = 0 39 + -35x = -41 + 0 39 + -35x = -41 Add '-39' to each side of the equation. 39 + -39 + -35x = -41 + -39 Combine like terms: 39 + -39 = 0 0 + -35x = -41 + -39 -35x = -41 + -39 Combine like terms: -41 + -39 = -80 -35x = -80 Divide each side by '-35'. x = 2.285714286 Simplifying x = 2.285714286
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