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Simplifying 0.3(1.65 + -6x) = -1.1x (1.65 * 0.3 + -6x * 0.3) = -1.1x (0.495 + -1.8x) = -1.1x Solving 0.495 + -1.8x = -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. 0.495 + -1.8x + 1.1x = -1.1x + 1.1x Combine like terms: -1.8x + 1.1x = -0.7x 0.495 + -0.7x = -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 0.495 + -0.7x = 0.0 Add '-0.495' to each side of the equation. 0.495 + -0.495 + -0.7x = 0.0 + -0.495 Combine like terms: 0.495 + -0.495 = 0.000 0.000 + -0.7x = 0.0 + -0.495 -0.7x = 0.0 + -0.495 Combine like terms: 0.0 + -0.495 = -0.495 -0.7x = -0.495 Divide each side by '-0.7'. x = 0.7071428571 Simplifying x = 0.7071428571
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