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Simplifying 3.8x + -13 = 1.4x + 5 Reorder the terms: -13 + 3.8x = 1.4x + 5 Reorder the terms: -13 + 3.8x = 5 + 1.4x Solving -13 + 3.8x = 5 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -13 + 3.8x + -1.4x = 5 + 1.4x + -1.4x Combine like terms: 3.8x + -1.4x = 2.4x -13 + 2.4x = 5 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -13 + 2.4x = 5 + 0.0 -13 + 2.4x = 5 Add '13' to each side of the equation. -13 + 13 + 2.4x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 2.4x = 5 + 13 2.4x = 5 + 13 Combine like terms: 5 + 13 = 18 2.4x = 18 Divide each side by '2.4'. x = 7.5 Simplifying x = 7.5
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