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Simplifying 1 = 0.1x + -0.5x + -31 Reorder the terms: 1 = -31 + 0.1x + -0.5x Combine like terms: 0.1x + -0.5x = -0.4x 1 = -31 + -0.4x Solving 1 = -31 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 1 + 0.4x = -31 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 1 + 0.4x = -31 + 0.0 1 + 0.4x = -31 Add '-1' to each side of the equation. 1 + -1 + 0.4x = -31 + -1 Combine like terms: 1 + -1 = 0 0 + 0.4x = -31 + -1 0.4x = -31 + -1 Combine like terms: -31 + -1 = -32 0.4x = -32 Divide each side by '0.4'. x = -80 Simplifying x = -80
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