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Simplifying 4.2x + 46.2 = 12.9 + -6.9x Reorder the terms: 46.2 + 4.2x = 12.9 + -6.9x Solving 46.2 + 4.2x = 12.9 + -6.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.9x' to each side of the equation. 46.2 + 4.2x + 6.9x = 12.9 + -6.9x + 6.9x Combine like terms: 4.2x + 6.9x = 11.1x 46.2 + 11.1x = 12.9 + -6.9x + 6.9x Combine like terms: -6.9x + 6.9x = 0.0 46.2 + 11.1x = 12.9 + 0.0 46.2 + 11.1x = 12.9 Add '-46.2' to each side of the equation. 46.2 + -46.2 + 11.1x = 12.9 + -46.2 Combine like terms: 46.2 + -46.2 = 0.0 0.0 + 11.1x = 12.9 + -46.2 11.1x = 12.9 + -46.2 Combine like terms: 12.9 + -46.2 = -33.3 11.1x = -33.3 Divide each side by '11.1'. x = -3 Simplifying x = -3
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