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Simplifying -38 = 5(x + 2) + 7x Reorder the terms: -38 = 5(2 + x) + 7x -38 = (2 * 5 + x * 5) + 7x -38 = (10 + 5x) + 7x Combine like terms: 5x + 7x = 12x -38 = 10 + 12x Solving -38 = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -38 + -12x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -38 + -12x = 10 + 0 -38 + -12x = 10 Add '38' to each side of the equation. -38 + 38 + -12x = 10 + 38 Combine like terms: -38 + 38 = 0 0 + -12x = 10 + 38 -12x = 10 + 38 Combine like terms: 10 + 38 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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