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Simplifying 9(3x + -11) + -4 = 1(x + -8) + -43 Reorder the terms: 9(-11 + 3x) + -4 = 1(x + -8) + -43 (-11 * 9 + 3x * 9) + -4 = 1(x + -8) + -43 (-99 + 27x) + -4 = 1(x + -8) + -43 Reorder the terms: -99 + -4 + 27x = 1(x + -8) + -43 Combine like terms: -99 + -4 = -103 -103 + 27x = 1(x + -8) + -43 Reorder the terms: -103 + 27x = 1(-8 + x) + -43 -103 + 27x = (-8 * 1 + x * 1) + -43 -103 + 27x = (-8 + 1x) + -43 Reorder the terms: -103 + 27x = -8 + -43 + 1x Combine like terms: -8 + -43 = -51 -103 + 27x = -51 + 1x Solving -103 + 27x = -51 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -103 + 27x + -1x = -51 + 1x + -1x Combine like terms: 27x + -1x = 26x -103 + 26x = -51 + 1x + -1x Combine like terms: 1x + -1x = 0 -103 + 26x = -51 + 0 -103 + 26x = -51 Add '103' to each side of the equation. -103 + 103 + 26x = -51 + 103 Combine like terms: -103 + 103 = 0 0 + 26x = -51 + 103 26x = -51 + 103 Combine like terms: -51 + 103 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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