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Simplifying 2.18 + -4.476(9.9x + 5.5) = 45.5306 + x Reorder the terms: 2.18 + -4.476(5.5 + 9.9x) = 45.5306 + x 2.18 + (5.5 * -4.476 + 9.9x * -4.476) = 45.5306 + x 2.18 + (-24.618 + -44.3124x) = 45.5306 + x Combine like terms: 2.18 + -24.618 = -22.438 -22.438 + -44.3124x = 45.5306 + x Solving -22.438 + -44.3124x = 45.5306 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -22.438 + -44.3124x + -1x = 45.5306 + x + -1x Combine like terms: -44.3124x + -1x = -45.3124x -22.438 + -45.3124x = 45.5306 + x + -1x Combine like terms: x + -1x = 0 -22.438 + -45.3124x = 45.5306 + 0 -22.438 + -45.3124x = 45.5306 Add '22.438' to each side of the equation. -22.438 + 22.438 + -45.3124x = 45.5306 + 22.438 Combine like terms: -22.438 + 22.438 = 0.000 0.000 + -45.3124x = 45.5306 + 22.438 -45.3124x = 45.5306 + 22.438 Combine like terms: 45.5306 + 22.438 = 67.9686 -45.3124x = 67.9686 Divide each side by '-45.3124'. x = -1.5 Simplifying x = -1.5
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