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Simplifying 1.5x + -7.1 = 8.4 + x Reorder the terms: -7.1 + 1.5x = 8.4 + x Solving -7.1 + 1.5x = 8.4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7.1 + 1.5x + -1x = 8.4 + x + -1x Combine like terms: 1.5x + -1x = 0.5x -7.1 + 0.5x = 8.4 + x + -1x Combine like terms: x + -1x = 0 -7.1 + 0.5x = 8.4 + 0 -7.1 + 0.5x = 8.4 Add '7.1' to each side of the equation. -7.1 + 7.1 + 0.5x = 8.4 + 7.1 Combine like terms: -7.1 + 7.1 = 0.0 0.0 + 0.5x = 8.4 + 7.1 0.5x = 8.4 + 7.1 Combine like terms: 8.4 + 7.1 = 15.5 0.5x = 15.5 Divide each side by '0.5'. x = 31 Simplifying x = 31
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