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Simplifying 1 = 0.4x + -0.9x + -4 Reorder the terms: 1 = -4 + 0.4x + -0.9x Combine like terms: 0.4x + -0.9x = -0.5x 1 = -4 + -0.5x Solving 1 = -4 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 1 + 0.5x = -4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1 + 0.5x = -4 + 0.0 1 + 0.5x = -4 Add '-1' to each side of the equation. 1 + -1 + 0.5x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x = -4 + -1 0.5x = -4 + -1 Combine like terms: -4 + -1 = -5 0.5x = -5 Divide each side by '0.5'. x = -10 Simplifying x = -10
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