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Simplifying 6x + 8x + -38 = 95 + -5x Reorder the terms: -38 + 6x + 8x = 95 + -5x Combine like terms: 6x + 8x = 14x -38 + 14x = 95 + -5x Solving -38 + 14x = 95 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -38 + 14x + 5x = 95 + -5x + 5x Combine like terms: 14x + 5x = 19x -38 + 19x = 95 + -5x + 5x Combine like terms: -5x + 5x = 0 -38 + 19x = 95 + 0 -38 + 19x = 95 Add '38' to each side of the equation. -38 + 38 + 19x = 95 + 38 Combine like terms: -38 + 38 = 0 0 + 19x = 95 + 38 19x = 95 + 38 Combine like terms: 95 + 38 = 133 19x = 133 Divide each side by '19'. x = 7 Simplifying x = 7
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