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Simplifying 0.38x + 0.44 * 7 = 0.40x + 7 Multiply 0.44 * 7 0.38x + 3.08 = 0.40x + 7 Reorder the terms: 3.08 + 0.38x = 0.40x + 7 Reorder the terms: 3.08 + 0.38x = 7 + 0.40x Solving 3.08 + 0.38x = 7 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 3.08 + 0.38x + -0.40x = 7 + 0.40x + -0.40x Combine like terms: 0.38x + -0.40x = -0.02x 3.08 + -0.02x = 7 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 3.08 + -0.02x = 7 + 0.00 3.08 + -0.02x = 7 Add '-3.08' to each side of the equation. 3.08 + -3.08 + -0.02x = 7 + -3.08 Combine like terms: 3.08 + -3.08 = 0.00 0.00 + -0.02x = 7 + -3.08 -0.02x = 7 + -3.08 Combine like terms: 7 + -3.08 = 3.92 -0.02x = 3.92 Divide each side by '-0.02'. x = -196 Simplifying x = -196
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