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Simplifying 1.9(3x + -1.8) = 4.2 + -0.3x Reorder the terms: 1.9(-1.8 + 3x) = 4.2 + -0.3x (-1.8 * 1.9 + 3x * 1.9) = 4.2 + -0.3x (-3.42 + 5.7x) = 4.2 + -0.3x Solving -3.42 + 5.7x = 4.2 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -3.42 + 5.7x + 0.3x = 4.2 + -0.3x + 0.3x Combine like terms: 5.7x + 0.3x = 6x -3.42 + 6x = 4.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -3.42 + 6x = 4.2 + 0.0 -3.42 + 6x = 4.2 Add '3.42' to each side of the equation. -3.42 + 3.42 + 6x = 4.2 + 3.42 Combine like terms: -3.42 + 3.42 = 0.00 0.00 + 6x = 4.2 + 3.42 6x = 4.2 + 3.42 Combine like terms: 4.2 + 3.42 = 7.62 6x = 7.62 Divide each side by '6'. x = 1.27 Simplifying x = 1.27
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