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Simplifying 38 = 7x + 2(-5x + 7) Reorder the terms: 38 = 7x + 2(7 + -5x) 38 = 7x + (7 * 2 + -5x * 2) 38 = 7x + (14 + -10x) Reorder the terms: 38 = 14 + 7x + -10x Combine like terms: 7x + -10x = -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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