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Simplifying 9x + -4(x + -9) = 3(x + -5) + 8 Reorder the terms: 9x + -4(-9 + x) = 3(x + -5) + 8 9x + (-9 * -4 + x * -4) = 3(x + -5) + 8 9x + (36 + -4x) = 3(x + -5) + 8 Reorder the terms: 36 + 9x + -4x = 3(x + -5) + 8 Combine like terms: 9x + -4x = 5x 36 + 5x = 3(x + -5) + 8 Reorder the terms: 36 + 5x = 3(-5 + x) + 8 36 + 5x = (-5 * 3 + x * 3) + 8 36 + 5x = (-15 + 3x) + 8 Reorder the terms: 36 + 5x = -15 + 8 + 3x Combine like terms: -15 + 8 = -7 36 + 5x = -7 + 3x Solving 36 + 5x = -7 + 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. 36 + 5x + -3x = -7 + 3x + -3x Combine like terms: 5x + -3x = 2x 36 + 2x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 36 + 2x = -7 + 0 36 + 2x = -7 Add '-36' to each side of the equation. 36 + -36 + 2x = -7 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = -7 + -36 2x = -7 + -36 Combine like terms: -7 + -36 = -43 2x = -43 Divide each side by '2'. x = -21.5 Simplifying x = -21.5
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