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Simplifying 4X + 38 = 14X + -42 Reorder the terms: 38 + 4X = 14X + -42 Reorder the terms: 38 + 4X = -42 + 14X Solving 38 + 4X = -42 + 14X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14X' to each side of the equation. 38 + 4X + -14X = -42 + 14X + -14X Combine like terms: 4X + -14X = -10X 38 + -10X = -42 + 14X + -14X Combine like terms: 14X + -14X = 0 38 + -10X = -42 + 0 38 + -10X = -42 Add '-38' to each side of the equation. 38 + -38 + -10X = -42 + -38 Combine like terms: 38 + -38 = 0 0 + -10X = -42 + -38 -10X = -42 + -38 Combine like terms: -42 + -38 = -80 -10X = -80 Divide each side by '-10'. X = 8 Simplifying X = 8
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