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Simplifying 0.7x + -0.9(5 + -1x) = -0.5 0.7x + (5 * -0.9 + -1x * -0.9) = -0.5 0.7x + (-4.5 + 0.9x) = -0.5 Reorder the terms: -4.5 + 0.7x + 0.9x = -0.5 Combine like terms: 0.7x + 0.9x = 1.6x -4.5 + 1.6x = -0.5 Solving -4.5 + 1.6x = -0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + 1.6x = -0.5 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1.6x = -0.5 + 4.5 1.6x = -0.5 + 4.5 Combine like terms: -0.5 + 4.5 = 4 1.6x = 4 Divide each side by '1.6'. x = 2.5 Simplifying x = 2.5
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