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Simplifying 0.16x + -9 = 0.4x + 6 Reorder the terms: -9 + 0.16x = 0.4x + 6 Reorder the terms: -9 + 0.16x = 6 + 0.4x Solving -9 + 0.16x = 6 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -9 + 0.16x + -0.4x = 6 + 0.4x + -0.4x Combine like terms: 0.16x + -0.4x = -0.24x -9 + -0.24x = 6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -9 + -0.24x = 6 + 0.0 -9 + -0.24x = 6 Add '9' to each side of the equation. -9 + 9 + -0.24x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -0.24x = 6 + 9 -0.24x = 6 + 9 Combine like terms: 6 + 9 = 15 -0.24x = 15 Divide each side by '-0.24'. x = -62.5 Simplifying x = -62.5
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