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Simplifying -8x + 38 = 6x + -4 Reorder the terms: 38 + -8x = 6x + -4 Reorder the terms: 38 + -8x = -4 + 6x Solving 38 + -8x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 38 + -8x + -6x = -4 + 6x + -6x Combine like terms: -8x + -6x = -14x 38 + -14x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + -14x = -4 + 0 38 + -14x = -4 Add '-38' to each side of the equation. 38 + -38 + -14x = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -14x = -4 + -38 -14x = -4 + -38 Combine like terms: -4 + -38 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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