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Simplifying 5.1 + -11.4 = -0.9x + -17.4 Combine like terms: 5.1 + -11.4 = -6.3 -6.3 = -0.9x + -17.4 Reorder the terms: -6.3 = -17.4 + -0.9x Solving -6.3 = -17.4 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. -6.3 + 0.9x = -17.4 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -6.3 + 0.9x = -17.4 + 0.0 -6.3 + 0.9x = -17.4 Add '6.3' to each side of the equation. -6.3 + 6.3 + 0.9x = -17.4 + 6.3 Combine like terms: -6.3 + 6.3 = 0.0 0.0 + 0.9x = -17.4 + 6.3 0.9x = -17.4 + 6.3 Combine like terms: -17.4 + 6.3 = -11.1 0.9x = -11.1 Divide each side by '0.9'. x = -12.33333333 Simplifying x = -12.33333333
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