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Simplifying 0.9x + 1 = 0.3x + 0.4 Reorder the terms: 1 + 0.9x = 0.3x + 0.4 Reorder the terms: 1 + 0.9x = 0.4 + 0.3x Solving 1 + 0.9x = 0.4 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 1 + 0.9x + -0.3x = 0.4 + 0.3x + -0.3x Combine like terms: 0.9x + -0.3x = 0.6x 1 + 0.6x = 0.4 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 1 + 0.6x = 0.4 + 0.0 1 + 0.6x = 0.4 Add '-1' to each side of the equation. 1 + -1 + 0.6x = 0.4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.6x = 0.4 + -1 0.6x = 0.4 + -1 Combine like terms: 0.4 + -1 = -0.6 0.6x = -0.6 Divide each side by '0.6'. x = -1 Simplifying x = -1
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