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Simplifying 0.9x + -2.1 + 0.09 = 0.2(5 + -1x) Reorder the terms: -2.1 + 0.09 + 0.9x = 0.2(5 + -1x) Combine like terms: -2.1 + 0.09 = -2.01 -2.01 + 0.9x = 0.2(5 + -1x) -2.01 + 0.9x = (5 * 0.2 + -1x * 0.2) -2.01 + 0.9x = (1 + -0.2x) Solving -2.01 + 0.9x = 1 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -2.01 + 0.9x + 0.2x = 1 + -0.2x + 0.2x Combine like terms: 0.9x + 0.2x = 1.1x -2.01 + 1.1x = 1 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -2.01 + 1.1x = 1 + 0.0 -2.01 + 1.1x = 1 Add '2.01' to each side of the equation. -2.01 + 2.01 + 1.1x = 1 + 2.01 Combine like terms: -2.01 + 2.01 = 0.00 0.00 + 1.1x = 1 + 2.01 1.1x = 1 + 2.01 Combine like terms: 1 + 2.01 = 3.01 1.1x = 3.01 Divide each side by '1.1'. x = 2.736363636 Simplifying x = 2.736363636
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