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Simplifying 9(-0.5 + -0.1x) = -1 + -0.2x (-0.5 * 9 + -0.1x * 9) = -1 + -0.2x (-4.5 + -0.9x) = -1 + -0.2x Solving -4.5 + -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. -4.5 + -0.9x + 0.2x = -1 + -0.2x + 0.2x Combine like terms: -0.9x + 0.2x = -0.7x -4.5 + -0.7x = -1 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -4.5 + -0.7x = -1 + 0.0 -4.5 + -0.7x = -1 Add '4.5' to each side of the equation. -4.5 + 4.5 + -0.7x = -1 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -0.7x = -1 + 4.5 -0.7x = -1 + 4.5 Combine like terms: -1 + 4.5 = 3.5 -0.7x = 3.5 Divide each side by '-0.7'. x = -5 Simplifying x = -5
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