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Simplifying 1.2x + 4.6 = 0.7x + -0.3 Reorder the terms: 4.6 + 1.2x = 0.7x + -0.3 Reorder the terms: 4.6 + 1.2x = -0.3 + 0.7x Solving 4.6 + 1.2x = -0.3 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 4.6 + 1.2x + -0.7x = -0.3 + 0.7x + -0.7x Combine like terms: 1.2x + -0.7x = 0.5x 4.6 + 0.5x = -0.3 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 4.6 + 0.5x = -0.3 + 0.0 4.6 + 0.5x = -0.3 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.5x = -0.3 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.5x = -0.3 + -4.6 0.5x = -0.3 + -4.6 Combine like terms: -0.3 + -4.6 = -4.9 0.5x = -4.9 Divide each side by '0.5'. x = -9.8 Simplifying x = -9.8
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