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Simplifying 6x + -5 + 8x + -1(2x + 3) = 3(3x + -8) Reorder the terms: 6x + -5 + 8x + -1(3 + 2x) = 3(3x + -8) 6x + -5 + 8x + (3 * -1 + 2x * -1) = 3(3x + -8) 6x + -5 + 8x + (-3 + -2x) = 3(3x + -8) Reorder the terms: -5 + -3 + 6x + 8x + -2x = 3(3x + -8) Combine like terms: -5 + -3 = -8 -8 + 6x + 8x + -2x = 3(3x + -8) Combine like terms: 6x + 8x = 14x -8 + 14x + -2x = 3(3x + -8) Combine like terms: 14x + -2x = 12x -8 + 12x = 3(3x + -8) Reorder the terms: -8 + 12x = 3(-8 + 3x) -8 + 12x = (-8 * 3 + 3x * 3) -8 + 12x = (-24 + 9x) Solving -8 + 12x = -24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 12x + -9x = -24 + 9x + -9x Combine like terms: 12x + -9x = 3x -8 + 3x = -24 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 3x = -24 + 0 -8 + 3x = -24 Add '8' to each side of the equation. -8 + 8 + 3x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -24 + 8 3x = -24 + 8 Combine like terms: -24 + 8 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333
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