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Simplifying 0.9x + -14 = 1.5x + -17 Reorder the terms: -14 + 0.9x = 1.5x + -17 Reorder the terms: -14 + 0.9x = -17 + 1.5x Solving -14 + 0.9x = -17 + 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. -14 + 0.9x + -1.5x = -17 + 1.5x + -1.5x Combine like terms: 0.9x + -1.5x = -0.6x -14 + -0.6x = -17 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -14 + -0.6x = -17 + 0.0 -14 + -0.6x = -17 Add '14' to each side of the equation. -14 + 14 + -0.6x = -17 + 14 Combine like terms: -14 + 14 = 0 0 + -0.6x = -17 + 14 -0.6x = -17 + 14 Combine like terms: -17 + 14 = -3 -0.6x = -3 Divide each side by '-0.6'. x = 5 Simplifying x = 5
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