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Simplifying 2.14(x + -4.06) = 2.45 + -0.11x Reorder the terms: 2.14(-4.06 + x) = 2.45 + -0.11x (-4.06 * 2.14 + x * 2.14) = 2.45 + -0.11x (-8.6884 + 2.14x) = 2.45 + -0.11x Solving -8.6884 + 2.14x = 2.45 + -0.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.11x' to each side of the equation. -8.6884 + 2.14x + 0.11x = 2.45 + -0.11x + 0.11x Combine like terms: 2.14x + 0.11x = 2.25x -8.6884 + 2.25x = 2.45 + -0.11x + 0.11x Combine like terms: -0.11x + 0.11x = 0.00 -8.6884 + 2.25x = 2.45 + 0.00 -8.6884 + 2.25x = 2.45 Add '8.6884' to each side of the equation. -8.6884 + 8.6884 + 2.25x = 2.45 + 8.6884 Combine like terms: -8.6884 + 8.6884 = 0.0000 0.0000 + 2.25x = 2.45 + 8.6884 2.25x = 2.45 + 8.6884 Combine like terms: 2.45 + 8.6884 = 11.1384 2.25x = 11.1384 Divide each side by '2.25'. x = 4.9504 Simplifying x = 4.9504
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