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Simplifying 0.3x + 1.7 = 0.8x + -1.3 Reorder the terms: 1.7 + 0.3x = 0.8x + -1.3 Reorder the terms: 1.7 + 0.3x = -1.3 + 0.8x Solving 1.7 + 0.3x = -1.3 + 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. 1.7 + 0.3x + -0.8x = -1.3 + 0.8x + -0.8x Combine like terms: 0.3x + -0.8x = -0.5x 1.7 + -0.5x = -1.3 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1.7 + -0.5x = -1.3 + 0.0 1.7 + -0.5x = -1.3 Add '-1.7' to each side of the equation. 1.7 + -1.7 + -0.5x = -1.3 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -0.5x = -1.3 + -1.7 -0.5x = -1.3 + -1.7 Combine like terms: -1.3 + -1.7 = -3 -0.5x = -3 Divide each side by '-0.5'. x = 6 Simplifying x = 6
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