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Simplifying 7x + 5x + -38 = 95 + -7x Reorder the terms: -38 + 7x + 5x = 95 + -7x Combine like terms: 7x + 5x = 12x -38 + 12x = 95 + -7x Solving -38 + 12x = 95 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -38 + 12x + 7x = 95 + -7x + 7x Combine like terms: 12x + 7x = 19x -38 + 19x = 95 + -7x + 7x Combine like terms: -7x + 7x = 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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