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Simplifying 0.9x + -0.7(3 + -1x) = 5.1 0.9x + (3 * -0.7 + -1x * -0.7) = 5.1 0.9x + (-2.1 + 0.7x) = 5.1 Reorder the terms: -2.1 + 0.9x + 0.7x = 5.1 Combine like terms: 0.9x + 0.7x = 1.6x -2.1 + 1.6x = 5.1 Solving -2.1 + 1.6x = 5.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.1' to each side of the equation. -2.1 + 2.1 + 1.6x = 5.1 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 1.6x = 5.1 + 2.1 1.6x = 5.1 + 2.1 Combine like terms: 5.1 + 2.1 = 7.2 1.6x = 7.2 Divide each side by '1.6'. x = 4.5 Simplifying x = 4.5
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