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Simplifying -0.2x + 7.74 = -0.4x + 4.74 Reorder the terms: 7.74 + -0.2x = -0.4x + 4.74 Reorder the terms: 7.74 + -0.2x = 4.74 + -0.4x Solving 7.74 + -0.2x = 4.74 + -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. 7.74 + -0.2x + 0.4x = 4.74 + -0.4x + 0.4x Combine like terms: -0.2x + 0.4x = 0.2x 7.74 + 0.2x = 4.74 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 7.74 + 0.2x = 4.74 + 0.0 7.74 + 0.2x = 4.74 Add '-7.74' to each side of the equation. 7.74 + -7.74 + 0.2x = 4.74 + -7.74 Combine like terms: 7.74 + -7.74 = 0.00 0.00 + 0.2x = 4.74 + -7.74 0.2x = 4.74 + -7.74 Combine like terms: 4.74 + -7.74 = -3 0.2x = -3 Divide each side by '0.2'. x = -15 Simplifying x = -15
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