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Simplifying 0.5x + 3 = 0.8x + -1.5 Reorder the terms: 3 + 0.5x = 0.8x + -1.5 Reorder the terms: 3 + 0.5x = -1.5 + 0.8x Solving 3 + 0.5x = -1.5 + 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. 3 + 0.5x + -0.8x = -1.5 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 3 + -0.3x = -1.5 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 3 + -0.3x = -1.5 + 0.0 3 + -0.3x = -1.5 Add '-3' to each side of the equation. 3 + -3 + -0.3x = -1.5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.3x = -1.5 + -3 -0.3x = -1.5 + -3 Combine like terms: -1.5 + -3 = -4.5 -0.3x = -4.5 Divide each side by '-0.3'. x = 15 Simplifying x = 15
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