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Simplifying 1.4 + 0.2x = 0.7x + -4.6 Reorder the terms: 1.4 + 0.2x = -4.6 + 0.7x Solving 1.4 + 0.2x = -4.6 + 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. 1.4 + 0.2x + -0.7x = -4.6 + 0.7x + -0.7x Combine like terms: 0.2x + -0.7x = -0.5x 1.4 + -0.5x = -4.6 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 1.4 + -0.5x = -4.6 + 0.0 1.4 + -0.5x = -4.6 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -0.5x = -4.6 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.5x = -4.6 + -1.4 -0.5x = -4.6 + -1.4 Combine like terms: -4.6 + -1.4 = -6 -0.5x = -6 Divide each side by '-0.5'. x = 12 Simplifying x = 12
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