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Simplifying 3x + -38 = -8(x + 2) Reorder the terms: -38 + 3x = -8(x + 2) Reorder the terms: -38 + 3x = -8(2 + x) -38 + 3x = (2 * -8 + x * -8) -38 + 3x = (-16 + -8x) Solving -38 + 3x = -16 + -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 + 3x + 8x = -16 + -8x + 8x Combine like terms: 3x + 8x = 11x -38 + 11x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 -38 + 11x = -16 + 0 -38 + 11x = -16 Add '38' to each side of the equation. -38 + 38 + 11x = -16 + 38 Combine like terms: -38 + 38 = 0 0 + 11x = -16 + 38 11x = -16 + 38 Combine like terms: -16 + 38 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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