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Simplifying 0.5x + 6.4 = 4.9 + -1.0x Reorder the terms: 6.4 + 0.5x = 4.9 + -1.0x Solving 6.4 + 0.5x = 4.9 + -1.0x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6.4 + 0.5x + x = 4.9 + -1.0x + x Combine like terms: 0.5x + x = 1.5x 6.4 + 1.5x = 4.9 + -1.0x + x Combine like terms: -1.0x + x = 0.0 6.4 + 1.5x = 4.9 + 0.0 6.4 + 1.5x = 4.9 Add '-6.4' to each side of the equation. 6.4 + -6.4 + 1.5x = 4.9 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 1.5x = 4.9 + -6.4 1.5x = 4.9 + -6.4 Combine like terms: 4.9 + -6.4 = -1.5 1.5x = -1.5 Divide each side by '1.5'. x = -1 Simplifying x = -1
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