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Simplifying -1.2x + 2.5 = 3x + 4.6 Reorder the terms: 2.5 + -1.2x = 3x + 4.6 Reorder the terms: 2.5 + -1.2x = 4.6 + 3x Solving 2.5 + -1.2x = 4.6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2.5 + -1.2x + -3x = 4.6 + 3x + -3x Combine like terms: -1.2x + -3x = -4.2x 2.5 + -4.2x = 4.6 + 3x + -3x Combine like terms: 3x + -3x = 0 2.5 + -4.2x = 4.6 + 0 2.5 + -4.2x = 4.6 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -4.2x = 4.6 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -4.2x = 4.6 + -2.5 -4.2x = 4.6 + -2.5 Combine like terms: 4.6 + -2.5 = 2.1 -4.2x = 2.1 Divide each side by '-4.2'. x = -0.5 Simplifying x = -0.5
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