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Simplifying 0.51x + 0.03 = 0.4x + -0.74 Reorder the terms: 0.03 + 0.51x = 0.4x + -0.74 Reorder the terms: 0.03 + 0.51x = -0.74 + 0.4x Solving 0.03 + 0.51x = -0.74 + 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. 0.03 + 0.51x + -0.4x = -0.74 + 0.4x + -0.4x Combine like terms: 0.51x + -0.4x = 0.11x 0.03 + 0.11x = -0.74 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.03 + 0.11x = -0.74 + 0.0 0.03 + 0.11x = -0.74 Add '-0.03' to each side of the equation. 0.03 + -0.03 + 0.11x = -0.74 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 0.11x = -0.74 + -0.03 0.11x = -0.74 + -0.03 Combine like terms: -0.74 + -0.03 = -0.77 0.11x = -0.77 Divide each side by '0.11'. x = -7 Simplifying x = -7
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