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Simplifying 2.5x + -10 + 0.6x = 2 + 2.5x + 3 + -0.5x Reorder the terms: -10 + 2.5x + 0.6x = 2 + 2.5x + 3 + -0.5x Combine like terms: 2.5x + 0.6x = 3.1x -10 + 3.1x = 2 + 2.5x + 3 + -0.5x Reorder the terms: -10 + 3.1x = 2 + 3 + 2.5x + -0.5x Combine like terms: 2 + 3 = 5 -10 + 3.1x = 5 + 2.5x + -0.5x Combine like terms: 2.5x + -0.5x = 2x -10 + 3.1x = 5 + 2x Solving -10 + 3.1x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 3.1x + -2x = 5 + 2x + -2x Combine like terms: 3.1x + -2x = 1.1x -10 + 1.1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 1.1x = 5 + 0 -10 + 1.1x = 5 Add '10' to each side of the equation. -10 + 10 + 1.1x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 1.1x = 5 + 10 1.1x = 5 + 10 Combine like terms: 5 + 10 = 15 1.1x = 15 Divide each side by '1.1'. x = 13.63636364 Simplifying x = 13.63636364
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