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Simplifying 2.5x + -1.2 + 4x = 2.5 + 3.3x + -10.5 Reorder the terms: -1.2 + 2.5x + 4x = 2.5 + 3.3x + -10.5 Combine like terms: 2.5x + 4x = 6.5x -1.2 + 6.5x = 2.5 + 3.3x + -10.5 Reorder the terms: -1.2 + 6.5x = 2.5 + -10.5 + 3.3x Combine like terms: 2.5 + -10.5 = -8 -1.2 + 6.5x = -8 + 3.3x Solving -1.2 + 6.5x = -8 + 3.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.3x' to each side of the equation. -1.2 + 6.5x + -3.3x = -8 + 3.3x + -3.3x Combine like terms: 6.5x + -3.3x = 3.2x -1.2 + 3.2x = -8 + 3.3x + -3.3x Combine like terms: 3.3x + -3.3x = 0.0 -1.2 + 3.2x = -8 + 0.0 -1.2 + 3.2x = -8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 3.2x = -8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 3.2x = -8 + 1.2 3.2x = -8 + 1.2 Combine like terms: -8 + 1.2 = -6.8 3.2x = -6.8 Divide each side by '3.2'. x = -2.125 Simplifying x = -2.125
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