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Simplifying 8x + -49 = -3(x + 9) Reorder the terms: -49 + 8x = -3(x + 9) Reorder the terms: -49 + 8x = -3(9 + x) -49 + 8x = (9 * -3 + x * -3) -49 + 8x = (-27 + -3x) Solving -49 + 8x = -27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -49 + 8x + 3x = -27 + -3x + 3x Combine like terms: 8x + 3x = 11x -49 + 11x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 -49 + 11x = -27 + 0 -49 + 11x = -27 Add '49' to each side of the equation. -49 + 49 + 11x = -27 + 49 Combine like terms: -49 + 49 = 0 0 + 11x = -27 + 49 11x = -27 + 49 Combine like terms: -27 + 49 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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