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Simplifying 4x + 5x + x + 2(x + 5) = -38 Reorder the terms: 4x + 5x + x + 2(5 + x) = -38 4x + 5x + x + (5 * 2 + x * 2) = -38 4x + 5x + x + (10 + 2x) = -38 Reorder the terms: 10 + 4x + 5x + x + 2x = -38 Combine like terms: 4x + 5x = 9x 10 + 9x + x + 2x = -38 Combine like terms: 9x + x = 10x 10 + 10x + 2x = -38 Combine like terms: 10x + 2x = 12x 10 + 12x = -38 Solving 10 + 12x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 12x = -38 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = -38 + -10 12x = -38 + -10 Combine like terms: -38 + -10 = -48 12x = -48 Divide each side by '12'. x = -4 Simplifying x = -4
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