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Simplifying 0.5x + -7 = 0.3x + 1 Reorder the terms: -7 + 0.5x = 0.3x + 1 Reorder the terms: -7 + 0.5x = 1 + 0.3x Solving -7 + 0.5x = 1 + 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. -7 + 0.5x + -0.3x = 1 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x -7 + 0.2x = 1 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -7 + 0.2x = 1 + 0.0 -7 + 0.2x = 1 Add '7' to each side of the equation. -7 + 7 + 0.2x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 0.2x = 1 + 7 0.2x = 1 + 7 Combine like terms: 1 + 7 = 8 0.2x = 8 Divide each side by '0.2'. x = 40 Simplifying x = 40
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