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Simplifying -10.3x + 1.4 = -74.2 + -1.9x Reorder the terms: 1.4 + -10.3x = -74.2 + -1.9x Solving 1.4 + -10.3x = -74.2 + -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. 1.4 + -10.3x + 1.9x = -74.2 + -1.9x + 1.9x Combine like terms: -10.3x + 1.9x = -8.4x 1.4 + -8.4x = -74.2 + -1.9x + 1.9x Combine like terms: -1.9x + 1.9x = 0.0 1.4 + -8.4x = -74.2 + 0.0 1.4 + -8.4x = -74.2 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -8.4x = -74.2 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -8.4x = -74.2 + -1.4 -8.4x = -74.2 + -1.4 Combine like terms: -74.2 + -1.4 = -75.6 -8.4x = -75.6 Divide each side by '-8.4'. x = 9 Simplifying x = 9
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