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Simplifying 5.4 + 14.6 + -10.1x = 12.8 + -3.5x + -0.6 Combine like terms: 5.4 + 14.6 = 20 20 + -10.1x = 12.8 + -3.5x + -0.6 Reorder the terms: 20 + -10.1x = 12.8 + -0.6 + -3.5x Combine like terms: 12.8 + -0.6 = 12.2 20 + -10.1x = 12.2 + -3.5x Solving 20 + -10.1x = 12.2 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. 20 + -10.1x + 3.5x = 12.2 + -3.5x + 3.5x Combine like terms: -10.1x + 3.5x = -6.6x 20 + -6.6x = 12.2 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 20 + -6.6x = 12.2 + 0.0 20 + -6.6x = 12.2 Add '-20' to each side of the equation. 20 + -20 + -6.6x = 12.2 + -20 Combine like terms: 20 + -20 = 0 0 + -6.6x = 12.2 + -20 -6.6x = 12.2 + -20 Combine like terms: 12.2 + -20 = -7.8 -6.6x = -7.8 Divide each side by '-6.6'. x = 1.181818182 Simplifying x = 1.181818182
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