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Simplifying 9(2 + -3X) + -29 = 8X + -50(X + -23) (2 * 9 + -3X * 9) + -29 = 8X + -50(X + -23) (18 + -27X) + -29 = 8X + -50(X + -23) Reorder the terms: 18 + -29 + -27X = 8X + -50(X + -23) Combine like terms: 18 + -29 = -11 -11 + -27X = 8X + -50(X + -23) Reorder the terms: -11 + -27X = 8X + -50(-23 + X) -11 + -27X = 8X + (-23 * -50 + X * -50) -11 + -27X = 8X + (1150 + -50X) Reorder the terms: -11 + -27X = 1150 + 8X + -50X Combine like terms: 8X + -50X = -42X -11 + -27X = 1150 + -42X Solving -11 + -27X = 1150 + -42X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '42X' to each side of the equation. -11 + -27X + 42X = 1150 + -42X + 42X Combine like terms: -27X + 42X = 15X -11 + 15X = 1150 + -42X + 42X Combine like terms: -42X + 42X = 0 -11 + 15X = 1150 + 0 -11 + 15X = 1150 Add '11' to each side of the equation. -11 + 11 + 15X = 1150 + 11 Combine like terms: -11 + 11 = 0 0 + 15X = 1150 + 11 15X = 1150 + 11 Combine like terms: 1150 + 11 = 1161 15X = 1161 Divide each side by '15'. X = 77.4 Simplifying X = 77.4
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