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Simplifying 8x + -47 = -9(x + 9) Reorder the terms: -47 + 8x = -9(x + 9) Reorder the terms: -47 + 8x = -9(9 + x) -47 + 8x = (9 * -9 + x * -9) -47 + 8x = (-81 + -9x) Solving -47 + 8x = -81 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -47 + 8x + 9x = -81 + -9x + 9x Combine like terms: 8x + 9x = 17x -47 + 17x = -81 + -9x + 9x Combine like terms: -9x + 9x = 0 -47 + 17x = -81 + 0 -47 + 17x = -81 Add '47' to each side of the equation. -47 + 47 + 17x = -81 + 47 Combine like terms: -47 + 47 = 0 0 + 17x = -81 + 47 17x = -81 + 47 Combine like terms: -81 + 47 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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