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Simplifying 2x + 38 = 8x + -4 Reorder the terms: 38 + 2x = 8x + -4 Reorder the terms: 38 + 2x = -4 + 8x Solving 38 + 2x = -4 + 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 + 2x + -8x = -4 + 8x + -8x Combine like terms: 2x + -8x = -6x 38 + -6x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -6x = -4 + 0 38 + -6x = -4 Add '-38' to each side of the equation. 38 + -38 + -6x = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = -4 + -38 -6x = -4 + -38 Combine like terms: -4 + -38 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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