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Simplifying -4.6 + -3.7(1 + 4.485x) = -27.7934 + -0.35x -4.6 + (1 * -3.7 + 4.485x * -3.7) = -27.7934 + -0.35x -4.6 + (-3.7 + -16.5945x) = -27.7934 + -0.35x Combine like terms: -4.6 + -3.7 = -8.3 -8.3 + -16.5945x = -27.7934 + -0.35x Solving -8.3 + -16.5945x = -27.7934 + -0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.35x' to each side of the equation. -8.3 + -16.5945x + 0.35x = -27.7934 + -0.35x + 0.35x Combine like terms: -16.5945x + 0.35x = -16.2445x -8.3 + -16.2445x = -27.7934 + -0.35x + 0.35x Combine like terms: -0.35x + 0.35x = 0.00 -8.3 + -16.2445x = -27.7934 + 0.00 -8.3 + -16.2445x = -27.7934 Add '8.3' to each side of the equation. -8.3 + 8.3 + -16.2445x = -27.7934 + 8.3 Combine like terms: -8.3 + 8.3 = 0.0 0.0 + -16.2445x = -27.7934 + 8.3 -16.2445x = -27.7934 + 8.3 Combine like terms: -27.7934 + 8.3 = -19.4934 -16.2445x = -19.4934 Divide each side by '-16.2445'. x = 1.2 Simplifying x = 1.2
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