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Simplifying 5.8x + 7 = 3.8x + 1 Reorder the terms: 7 + 5.8x = 3.8x + 1 Reorder the terms: 7 + 5.8x = 1 + 3.8x Solving 7 + 5.8x = 1 + 3.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8x' to each side of the equation. 7 + 5.8x + -3.8x = 1 + 3.8x + -3.8x Combine like terms: 5.8x + -3.8x = 2x 7 + 2x = 1 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 7 + 2x = 1 + 0.0 7 + 2x = 1 Add '-7' to each side of the equation. 7 + -7 + 2x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 1 + -7 2x = 1 + -7 Combine like terms: 1 + -7 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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