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Simplifying 0.9x + -1.9 = 1.5x + 2.1 Reorder the terms: -1.9 + 0.9x = 1.5x + 2.1 Reorder the terms: -1.9 + 0.9x = 2.1 + 1.5x Solving -1.9 + 0.9x = 2.1 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -1.9 + 0.9x + -1.5x = 2.1 + 1.5x + -1.5x Combine like terms: 0.9x + -1.5x = -0.6x -1.9 + -0.6x = 2.1 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -1.9 + -0.6x = 2.1 + 0.0 -1.9 + -0.6x = 2.1 Add '1.9' to each side of the equation. -1.9 + 1.9 + -0.6x = 2.1 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + -0.6x = 2.1 + 1.9 -0.6x = 2.1 + 1.9 Combine like terms: 2.1 + 1.9 = 4 -0.6x = 4 Divide each side by '-0.6'. x = -6.666666667 Simplifying x = -6.666666667
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