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Simplifying 2x + 38 = -8(x + -1) Reorder the terms: 38 + 2x = -8(x + -1) Reorder the terms: 38 + 2x = -8(-1 + x) 38 + 2x = (-1 * -8 + x * -8) 38 + 2x = (8 + -8x) Solving 38 + 2x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 38 + 2x + 8x = 8 + -8x + 8x Combine like terms: 2x + 8x = 10x 38 + 10x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 38 + 10x = 8 + 0 38 + 10x = 8 Add '-38' to each side of the equation. 38 + -38 + 10x = 8 + -38 Combine like terms: 38 + -38 = 0 0 + 10x = 8 + -38 10x = 8 + -38 Combine like terms: 8 + -38 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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