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Simplifying 1.0x + 2.5 = 3.0x + 4.6 Reorder the terms: 2.5 + 1.0x = 3.0x + 4.6 Reorder the terms: 2.5 + 1.0x = 4.6 + 3.0x Solving 2.5 + 1.0x = 4.6 + 3.0x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.0x' to each side of the equation. 2.5 + 1.0x + -3.0x = 4.6 + 3.0x + -3.0x Combine like terms: 1.0x + -3.0x = -2x 2.5 + -2x = 4.6 + 3.0x + -3.0x Combine like terms: 3.0x + -3.0x = 0.0 2.5 + -2x = 4.6 + 0.0 2.5 + -2x = 4.6 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -2x = 4.6 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2x = 4.6 + -2.5 -2x = 4.6 + -2.5 Combine like terms: 4.6 + -2.5 = 2.1 -2x = 2.1 Divide each side by '-2'. x = -1.05 Simplifying x = -1.05
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