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Simplifying 1.2 + 0.6x = 2.9 + 2.5x + 0.5 Reorder the terms: 1.2 + 0.6x = 2.9 + 0.5 + 2.5x Combine like terms: 2.9 + 0.5 = 3.4 1.2 + 0.6x = 3.4 + 2.5x Solving 1.2 + 0.6x = 3.4 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 1.2 + 0.6x + -2.5x = 3.4 + 2.5x + -2.5x Combine like terms: 0.6x + -2.5x = -1.9x 1.2 + -1.9x = 3.4 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 1.2 + -1.9x = 3.4 + 0.0 1.2 + -1.9x = 3.4 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -1.9x = 3.4 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -1.9x = 3.4 + -1.2 -1.9x = 3.4 + -1.2 Combine like terms: 3.4 + -1.2 = 2.2 -1.9x = 2.2 Divide each side by '-1.9'. x = -1.157894737 Simplifying x = -1.157894737
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