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Simplifying 1 = 0.1x + -0.9x + -71 Reorder the terms: 1 = -71 + 0.1x + -0.9x Combine like terms: 0.1x + -0.9x = -0.8x 1 = -71 + -0.8x Solving 1 = -71 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. 1 + 0.8x = -71 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 1 + 0.8x = -71 + 0.0 1 + 0.8x = -71 Add '-1' to each side of the equation. 1 + -1 + 0.8x = -71 + -1 Combine like terms: 1 + -1 = 0 0 + 0.8x = -71 + -1 0.8x = -71 + -1 Combine like terms: -71 + -1 = -72 0.8x = -72 Divide each side by '0.8'. x = -90 Simplifying x = -90
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