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Simplifying 3.8(x + -6) + 4.6 = -22 Reorder the terms: 3.8(-6 + x) + 4.6 = -22 (-6 * 3.8 + x * 3.8) + 4.6 = -22 (-22.8 + 3.8x) + 4.6 = -22 Reorder the terms: -22.8 + 4.6 + 3.8x = -22 Combine like terms: -22.8 + 4.6 = -18.2 -18.2 + 3.8x = -22 Solving -18.2 + 3.8x = -22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18.2' to each side of the equation. -18.2 + 18.2 + 3.8x = -22 + 18.2 Combine like terms: -18.2 + 18.2 = 0.0 0.0 + 3.8x = -22 + 18.2 3.8x = -22 + 18.2 Combine like terms: -22 + 18.2 = -3.8 3.8x = -3.8 Divide each side by '3.8'. x = -1 Simplifying x = -1
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