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Simplifying 2x + 38 = -6(x + -5) Reorder the terms: 38 + 2x = -6(x + -5) Reorder the terms: 38 + 2x = -6(-5 + x) 38 + 2x = (-5 * -6 + x * -6) 38 + 2x = (30 + -6x) Solving 38 + 2x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 38 + 2x + 6x = 30 + -6x + 6x Combine like terms: 2x + 6x = 8x 38 + 8x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + 8x = 30 + 0 38 + 8x = 30 Add '-38' to each side of the equation. 38 + -38 + 8x = 30 + -38 Combine like terms: 38 + -38 = 0 0 + 8x = 30 + -38 8x = 30 + -38 Combine like terms: 30 + -38 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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