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Simplifying 6x + -9x + -12x + 6 + -8 = -5x + -3 + 3x + -9 + 6 Reorder the terms: 6 + -8 + 6x + -9x + -12x = -5x + -3 + 3x + -9 + 6 Combine like terms: 6 + -8 = -2 -2 + 6x + -9x + -12x = -5x + -3 + 3x + -9 + 6 Combine like terms: 6x + -9x = -3x -2 + -3x + -12x = -5x + -3 + 3x + -9 + 6 Combine like terms: -3x + -12x = -15x -2 + -15x = -5x + -3 + 3x + -9 + 6 Reorder the terms: -2 + -15x = -3 + -9 + 6 + -5x + 3x Combine like terms: -3 + -9 = -12 -2 + -15x = -12 + 6 + -5x + 3x Combine like terms: -12 + 6 = -6 -2 + -15x = -6 + -5x + 3x Combine like terms: -5x + 3x = -2x -2 + -15x = -6 + -2x Solving -2 + -15x = -6 + -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. -2 + -15x + 2x = -6 + -2x + 2x Combine like terms: -15x + 2x = -13x -2 + -13x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + -13x = -6 + 0 -2 + -13x = -6 Add '2' to each side of the equation. -2 + 2 + -13x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -13x = -6 + 2 -13x = -6 + 2 Combine like terms: -6 + 2 = -4 -13x = -4 Divide each side by '-13'. x = 0.3076923077 Simplifying x = 0.3076923077
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