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Simplifying 0.4x + 0.9 = 0.7x + -0.6 Reorder the terms: 0.9 + 0.4x = 0.7x + -0.6 Reorder the terms: 0.9 + 0.4x = -0.6 + 0.7x Solving 0.9 + 0.4x = -0.6 + 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. 0.9 + 0.4x + -0.7x = -0.6 + 0.7x + -0.7x Combine like terms: 0.4x + -0.7x = -0.3x 0.9 + -0.3x = -0.6 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 0.9 + -0.3x = -0.6 + 0.0 0.9 + -0.3x = -0.6 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.3x = -0.6 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.3x = -0.6 + -0.9 -0.3x = -0.6 + -0.9 Combine like terms: -0.6 + -0.9 = -1.5 -0.3x = -1.5 Divide each side by '-0.3'. x = 5 Simplifying x = 5
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