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Simplifying 3.7x + -3(-4 + 3x) = 11.9 + -5.8x 3.7x + (-4 * -3 + 3x * -3) = 11.9 + -5.8x 3.7x + (12 + -9x) = 11.9 + -5.8x Reorder the terms: 12 + 3.7x + -9x = 11.9 + -5.8x Combine like terms: 3.7x + -9x = -5.3x 12 + -5.3x = 11.9 + -5.8x Solving 12 + -5.3x = 11.9 + -5.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.8x' to each side of the equation. 12 + -5.3x + 5.8x = 11.9 + -5.8x + 5.8x Combine like terms: -5.3x + 5.8x = 0.5x 12 + 0.5x = 11.9 + -5.8x + 5.8x Combine like terms: -5.8x + 5.8x = 0.0 12 + 0.5x = 11.9 + 0.0 12 + 0.5x = 11.9 Add '-12' to each side of the equation. 12 + -12 + 0.5x = 11.9 + -12 Combine like terms: 12 + -12 = 0 0 + 0.5x = 11.9 + -12 0.5x = 11.9 + -12 Combine like terms: 11.9 + -12 = -0.1 0.5x = -0.1 Divide each side by '0.5'. x = -0.2 Simplifying x = -0.2
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