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Simplifying 0.4x + 7 = 0.7x + -0.2 Reorder the terms: 7 + 0.4x = 0.7x + -0.2 Reorder the terms: 7 + 0.4x = -0.2 + 0.7x Solving 7 + 0.4x = -0.2 + 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. 7 + 0.4x + -0.7x = -0.2 + 0.7x + -0.7x Combine like terms: 0.4x + -0.7x = -0.3x 7 + -0.3x = -0.2 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 7 + -0.3x = -0.2 + 0.0 7 + -0.3x = -0.2 Add '-7' to each side of the equation. 7 + -7 + -0.3x = -0.2 + -7 Combine like terms: 7 + -7 = 0 0 + -0.3x = -0.2 + -7 -0.3x = -0.2 + -7 Combine like terms: -0.2 + -7 = -7.2 -0.3x = -7.2 Divide each side by '-0.3'. x = 24 Simplifying x = 24
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