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Simplifying 0.4x + 4.5 = 0.2x + -3 Reorder the terms: 4.5 + 0.4x = 0.2x + -3 Reorder the terms: 4.5 + 0.4x = -3 + 0.2x Solving 4.5 + 0.4x = -3 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 4.5 + 0.4x + -0.2x = -3 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 4.5 + 0.2x = -3 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 4.5 + 0.2x = -3 + 0.0 4.5 + 0.2x = -3 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.2x = -3 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.2x = -3 + -4.5 0.2x = -3 + -4.5 Combine like terms: -3 + -4.5 = -7.5 0.2x = -7.5 Divide each side by '0.2'. x = -37.5 Simplifying x = -37.5
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