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Simplifying 3(4x + 4) + -38 = 9x + 1 Reorder the terms: 3(4 + 4x) + -38 = 9x + 1 (4 * 3 + 4x * 3) + -38 = 9x + 1 (12 + 12x) + -38 = 9x + 1 Reorder the terms: 12 + -38 + 12x = 9x + 1 Combine like terms: 12 + -38 = -26 -26 + 12x = 9x + 1 Reorder the terms: -26 + 12x = 1 + 9x Solving -26 + 12x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -26 + 12x + -9x = 1 + 9x + -9x Combine like terms: 12x + -9x = 3x -26 + 3x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -26 + 3x = 1 + 0 -26 + 3x = 1 Add '26' to each side of the equation. -26 + 26 + 3x = 1 + 26 Combine like terms: -26 + 26 = 0 0 + 3x = 1 + 26 3x = 1 + 26 Combine like terms: 1 + 26 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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