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Simplifying 8x + -6 + 7x = 3x + -20 + 9x + -4 Reorder the terms: -6 + 8x + 7x = 3x + -20 + 9x + -4 Combine like terms: 8x + 7x = 15x -6 + 15x = 3x + -20 + 9x + -4 Reorder the terms: -6 + 15x = -20 + -4 + 3x + 9x Combine like terms: -20 + -4 = -24 -6 + 15x = -24 + 3x + 9x Combine like terms: 3x + 9x = 12x -6 + 15x = -24 + 12x Solving -6 + 15x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 15x + -12x = -24 + 12x + -12x Combine like terms: 15x + -12x = 3x -6 + 3x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 3x = -24 + 0 -6 + 3x = -24 Add '6' to each side of the equation. -6 + 6 + 3x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -24 + 6 3x = -24 + 6 Combine like terms: -24 + 6 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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