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Simplifying 43 + -1(x + 9) = 8x + -2 Reorder the terms: 43 + -1(9 + x) = 8x + -2 43 + (9 * -1 + x * -1) = 8x + -2 43 + (-9 + -1x) = 8x + -2 Combine like terms: 43 + -9 = 34 34 + -1x = 8x + -2 Reorder the terms: 34 + -1x = -2 + 8x Solving 34 + -1x = -2 + 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. 34 + -1x + -8x = -2 + 8x + -8x Combine like terms: -1x + -8x = -9x 34 + -9x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 34 + -9x = -2 + 0 34 + -9x = -2 Add '-34' to each side of the equation. 34 + -34 + -9x = -2 + -34 Combine like terms: 34 + -34 = 0 0 + -9x = -2 + -34 -9x = -2 + -34 Combine like terms: -2 + -34 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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