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Simplifying 38 = 2(x + 7) + -5x Reorder the terms: 38 = 2(7 + x) + -5x 38 = (7 * 2 + x * 2) + -5x 38 = (14 + 2x) + -5x Combine like terms: 2x + -5x = -3x 38 = 14 + -3x Solving 38 = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 38 + 3x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 38 + 3x = 14 + 0 38 + 3x = 14 Add '-38' to each side of the equation. 38 + -38 + 3x = 14 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = 14 + -38 3x = 14 + -38 Combine like terms: 14 + -38 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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