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Simplifying 0.5x + -1.6 = 3.8x + 22 Reorder the terms: -1.6 + 0.5x = 3.8x + 22 Reorder the terms: -1.6 + 0.5x = 22 + 3.8x Solving -1.6 + 0.5x = 22 + 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. -1.6 + 0.5x + -3.8x = 22 + 3.8x + -3.8x Combine like terms: 0.5x + -3.8x = -3.3x -1.6 + -3.3x = 22 + 3.8x + -3.8x Combine like terms: 3.8x + -3.8x = 0.0 -1.6 + -3.3x = 22 + 0.0 -1.6 + -3.3x = 22 Add '1.6' to each side of the equation. -1.6 + 1.6 + -3.3x = 22 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -3.3x = 22 + 1.6 -3.3x = 22 + 1.6 Combine like terms: 22 + 1.6 = 23.6 -3.3x = 23.6 Divide each side by '-3.3'. x = -7.151515152 Simplifying x = -7.151515152
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