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Simplifying -7 + 3(x + 8) = 38 + -4x Reorder the terms: -7 + 3(8 + x) = 38 + -4x -7 + (8 * 3 + x * 3) = 38 + -4x -7 + (24 + 3x) = 38 + -4x Combine like terms: -7 + 24 = 17 17 + 3x = 38 + -4x Solving 17 + 3x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 17 + 3x + 4x = 38 + -4x + 4x Combine like terms: 3x + 4x = 7x 17 + 7x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 7x = 38 + 0 17 + 7x = 38 Add '-17' to each side of the equation. 17 + -17 + 7x = 38 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 38 + -17 7x = 38 + -17 Combine like terms: 38 + -17 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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