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Simplifying 0.9x + -0.3(5 + -1x) = 5.1 0.9x + (5 * -0.3 + -1x * -0.3) = 5.1 0.9x + (-1.5 + 0.3x) = 5.1 Reorder the terms: -1.5 + 0.9x + 0.3x = 5.1 Combine like terms: 0.9x + 0.3x = 1.2x -1.5 + 1.2x = 5.1 Solving -1.5 + 1.2x = 5.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 1.2x = 5.1 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1.2x = 5.1 + 1.5 1.2x = 5.1 + 1.5 Combine like terms: 5.1 + 1.5 = 6.6 1.2x = 6.6 Divide each side by '1.2'. x = 5.5 Simplifying x = 5.5
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