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Simplifying 0.9x + -1.2 = 2.5x + 1.5 Reorder the terms: -1.2 + 0.9x = 2.5x + 1.5 Reorder the terms: -1.2 + 0.9x = 1.5 + 2.5x Solving -1.2 + 0.9x = 1.5 + 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 + 0.9x + -2.5x = 1.5 + 2.5x + -2.5x Combine like terms: 0.9x + -2.5x = -1.6x -1.2 + -1.6x = 1.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -1.2 + -1.6x = 1.5 + 0.0 -1.2 + -1.6x = 1.5 Add '1.2' to each side of the equation. -1.2 + 1.2 + -1.6x = 1.5 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -1.6x = 1.5 + 1.2 -1.6x = 1.5 + 1.2 Combine like terms: 1.5 + 1.2 = 2.7 -1.6x = 2.7 Divide each side by '-1.6'. x = -1.6875 Simplifying x = -1.6875
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