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Simplifying 1.3 + -6x = -27.4 + -1.9x Solving 1.3 + -6x = -27.4 + -1.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.9x' to each side of the equation. 1.3 + -6x + 1.9x = -27.4 + -1.9x + 1.9x Combine like terms: -6x + 1.9x = -4.1x 1.3 + -4.1x = -27.4 + -1.9x + 1.9x Combine like terms: -1.9x + 1.9x = 0.0 1.3 + -4.1x = -27.4 + 0.0 1.3 + -4.1x = -27.4 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -4.1x = -27.4 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -4.1x = -27.4 + -1.3 -4.1x = -27.4 + -1.3 Combine like terms: -27.4 + -1.3 = -28.7 -4.1x = -28.7 Divide each side by '-4.1'. x = 7 Simplifying x = 7
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