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Simplifying 0.5x + 0.9 = 0.8x + -1.2 Reorder the terms: 0.9 + 0.5x = 0.8x + -1.2 Reorder the terms: 0.9 + 0.5x = -1.2 + 0.8x Solving 0.9 + 0.5x = -1.2 + 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. 0.9 + 0.5x + -0.8x = -1.2 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 0.9 + -0.3x = -1.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.9 + -0.3x = -1.2 + 0.0 0.9 + -0.3x = -1.2 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.3x = -1.2 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.3x = -1.2 + -0.9 -0.3x = -1.2 + -0.9 Combine like terms: -1.2 + -0.9 = -2.1 -0.3x = -2.1 Divide each side by '-0.3'. x = 7 Simplifying x = 7
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