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Simplifying 6.9x + 6 = 5.4x + -6 Reorder the terms: 6 + 6.9x = 5.4x + -6 Reorder the terms: 6 + 6.9x = -6 + 5.4x Solving 6 + 6.9x = -6 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. 6 + 6.9x + -5.4x = -6 + 5.4x + -5.4x Combine like terms: 6.9x + -5.4x = 1.5x 6 + 1.5x = -6 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 6 + 1.5x = -6 + 0.0 6 + 1.5x = -6 Add '-6' to each side of the equation. 6 + -6 + 1.5x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 1.5x = -6 + -6 1.5x = -6 + -6 Combine like terms: -6 + -6 = -12 1.5x = -12 Divide each side by '1.5'. x = -8 Simplifying x = -8
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