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Simplifying 0.2x + 1 = -0.3x + -1.5 Reorder the terms: 1 + 0.2x = -0.3x + -1.5 Reorder the terms: 1 + 0.2x = -1.5 + -0.3x Solving 1 + 0.2x = -1.5 + -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 + 0.2x + 0.3x = -1.5 + -0.3x + 0.3x Combine like terms: 0.2x + 0.3x = 0.5x 1 + 0.5x = -1.5 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 1 + 0.5x = -1.5 + 0.0 1 + 0.5x = -1.5 Add '-1' to each side of the equation. 1 + -1 + 0.5x = -1.5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x = -1.5 + -1 0.5x = -1.5 + -1 Combine like terms: -1.5 + -1 = -2.5 0.5x = -2.5 Divide each side by '0.5'. x = -5 Simplifying x = -5
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