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Simplifying 3.8x + -5 + 4.2x + 6 = -15 Reorder the terms: -5 + 6 + 3.8x + 4.2x = -15 Combine like terms: -5 + 6 = 1 1 + 3.8x + 4.2x = -15 Combine like terms: 3.8x + 4.2x = 8x 1 + 8x = -15 Solving 1 + 8x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8x = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = -15 + -1 8x = -15 + -1 Combine like terms: -15 + -1 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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