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Simplifying 2x + 4x + 38 = 8x + -14 Reorder the terms: 38 + 2x + 4x = 8x + -14 Combine like terms: 2x + 4x = 6x 38 + 6x = 8x + -14 Reorder the terms: 38 + 6x = -14 + 8x Solving 38 + 6x = -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 + 6x + -8x = -14 + 8x + -8x Combine like terms: 6x + -8x = -2x 38 + -2x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -2x = -14 + 0 38 + -2x = -14 Add '-38' to each side of the equation. 38 + -38 + -2x = -14 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = -14 + -38 -2x = -14 + -38 Combine like terms: -14 + -38 = -52 -2x = -52 Divide each side by '-2'. x = 26 Simplifying x = 26
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