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Simplifying 38 + -5x = 14 + -8x Solving 38 + -5x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 38 + -5x + 8x = 14 + -8x + 8x Combine like terms: -5x + 8x = 3x 38 + 3x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 38 + 3x = 14 + 0 38 + 3x = 14 Add '-38' to each side of the equation. 38 + -38 + 3x = 14 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = 14 + -38 3x = 14 + -38 Combine like terms: 14 + -38 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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