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Simplifying 0.9x + -2.1 + 0.9 = 0.2[5 + -1x] Reorder the terms: -2.1 + 0.9 + 0.9x = 0.2[5 + -1x] Combine like terms: -2.1 + 0.9 = -1.2 -1.2 + 0.9x = 0.2[5 + -1x] -1.2 + 0.9x = [5 * 0.2 + -1x * 0.2] -1.2 + 0.9x = [1 + -0.2x] Solving -1.2 + 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. -1.2 + 0.9x + 0.2x = 1 + -0.2x + 0.2x Combine like terms: 0.9x + 0.2x = 1.1x -1.2 + 1.1x = 1 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -1.2 + 1.1x = 1 + 0.0 -1.2 + 1.1x = 1 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1.1x = 1 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1.1x = 1 + 1.2 1.1x = 1 + 1.2 Combine like terms: 1 + 1.2 = 2.2 1.1x = 2.2 Divide each side by '1.1'. x = 2 Simplifying x = 2
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