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Simplifying 0.4x + 8.4 = 0.7x Reorder the terms: 8.4 + 0.4x = 0.7x Solving 8.4 + 0.4x = 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 8.4 + 0.4x + -0.7x = 0.7x + -0.7x Combine like terms: 0.4x + -0.7x = -0.3x 8.4 + -0.3x = 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 8.4 + -0.3x = 0.0 Add '-8.4' to each side of the equation. 8.4 + -8.4 + -0.3x = 0.0 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -0.3x = 0.0 + -8.4 -0.3x = 0.0 + -8.4 Combine like terms: 0.0 + -8.4 = -8.4 -0.3x = -8.4 Divide each side by '-0.3'. x = 28 Simplifying x = 28
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