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Simplifying 0.4x + 1.6 = 0.9x + -1.4 Reorder the terms: 1.6 + 0.4x = 0.9x + -1.4 Reorder the terms: 1.6 + 0.4x = -1.4 + 0.9x Solving 1.6 + 0.4x = -1.4 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 1.6 + 0.4x + -0.9x = -1.4 + 0.9x + -0.9x Combine like terms: 0.4x + -0.9x = -0.5x 1.6 + -0.5x = -1.4 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 1.6 + -0.5x = -1.4 + 0.0 1.6 + -0.5x = -1.4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -0.5x = -1.4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.5x = -1.4 + -1.6 -0.5x = -1.4 + -1.6 Combine like terms: -1.4 + -1.6 = -3 -0.5x = -3 Divide each side by '-0.5'. x = 6 Simplifying x = 6
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