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Simplifying 0.6x + 3.2 = 1.2x + -3.4 + 0.5x Reorder the terms: 3.2 + 0.6x = 1.2x + -3.4 + 0.5x Reorder the terms: 3.2 + 0.6x = -3.4 + 1.2x + 0.5x Combine like terms: 1.2x + 0.5x = 1.7x 3.2 + 0.6x = -3.4 + 1.7x Solving 3.2 + 0.6x = -3.4 + 1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.7x' to each side of the equation. 3.2 + 0.6x + -1.7x = -3.4 + 1.7x + -1.7x Combine like terms: 0.6x + -1.7x = -1.1x 3.2 + -1.1x = -3.4 + 1.7x + -1.7x Combine like terms: 1.7x + -1.7x = 0.0 3.2 + -1.1x = -3.4 + 0.0 3.2 + -1.1x = -3.4 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -1.1x = -3.4 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -1.1x = -3.4 + -3.2 -1.1x = -3.4 + -3.2 Combine like terms: -3.4 + -3.2 = -6.6 -1.1x = -6.6 Divide each side by '-1.1'. x = 6 Simplifying x = 6
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