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Simplifying 3x + 2(-5x + 2) = -38 Reorder the terms: 3x + 2(2 + -5x) = -38 3x + (2 * 2 + -5x * 2) = -38 3x + (4 + -10x) = -38 Reorder the terms: 4 + 3x + -10x = -38 Combine like terms: 3x + -10x = -7x 4 + -7x = -38 Solving 4 + -7x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -38 + -4 -7x = -38 + -4 Combine like terms: -38 + -4 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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