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Simplifying 2x + 38 = -6(x + -1) Reorder the terms: 38 + 2x = -6(x + -1) Reorder the terms: 38 + 2x = -6(-1 + x) 38 + 2x = (-1 * -6 + x * -6) 38 + 2x = (6 + -6x) Solving 38 + 2x = 6 + -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 = 6 + -6x + 6x Combine like terms: 2x + 6x = 8x 38 + 8x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + 8x = 6 + 0 38 + 8x = 6 Add '-38' to each side of the equation. 38 + -38 + 8x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 8x = 6 + -38 8x = 6 + -38 Combine like terms: 6 + -38 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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