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Simplifying 0.9x + -14 = 1.6x + -21 Reorder the terms: -14 + 0.9x = 1.6x + -21 Reorder the terms: -14 + 0.9x = -21 + 1.6x Solving -14 + 0.9x = -21 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. -14 + 0.9x + -1.6x = -21 + 1.6x + -1.6x Combine like terms: 0.9x + -1.6x = -0.7x -14 + -0.7x = -21 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -14 + -0.7x = -21 + 0.0 -14 + -0.7x = -21 Add '14' to each side of the equation. -14 + 14 + -0.7x = -21 + 14 Combine like terms: -14 + 14 = 0 0 + -0.7x = -21 + 14 -0.7x = -21 + 14 Combine like terms: -21 + 14 = -7 -0.7x = -7 Divide each side by '-0.7'. x = 10 Simplifying x = 10
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