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Simplifying 0.9x + -2.2 + 0.9 = 0.2(10 + -1x) Reorder the terms: -2.2 + 0.9 + 0.9x = 0.2(10 + -1x) Combine like terms: -2.2 + 0.9 = -1.3 -1.3 + 0.9x = 0.2(10 + -1x) -1.3 + 0.9x = (10 * 0.2 + -1x * 0.2) -1.3 + 0.9x = (2 + -0.2x) Solving -1.3 + 0.9x = 2 + -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. -1.3 + 0.9x + 0.2x = 2 + -0.2x + 0.2x Combine like terms: 0.9x + 0.2x = 1.1x -1.3 + 1.1x = 2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -1.3 + 1.1x = 2 + 0.0 -1.3 + 1.1x = 2 Add '1.3' to each side of the equation. -1.3 + 1.3 + 1.1x = 2 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + 1.1x = 2 + 1.3 1.1x = 2 + 1.3 Combine like terms: 2 + 1.3 = 3.3 1.1x = 3.3 Divide each side by '1.1'. x = 3 Simplifying x = 3
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