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Simplifying -8x + 3(x + 7) = -9(4x + 8) Reorder the terms: -8x + 3(7 + x) = -9(4x + 8) -8x + (7 * 3 + x * 3) = -9(4x + 8) -8x + (21 + 3x) = -9(4x + 8) Reorder the terms: 21 + -8x + 3x = -9(4x + 8) Combine like terms: -8x + 3x = -5x 21 + -5x = -9(4x + 8) Reorder the terms: 21 + -5x = -9(8 + 4x) 21 + -5x = (8 * -9 + 4x * -9) 21 + -5x = (-72 + -36x) Solving 21 + -5x = -72 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 21 + -5x + 36x = -72 + -36x + 36x Combine like terms: -5x + 36x = 31x 21 + 31x = -72 + -36x + 36x Combine like terms: -36x + 36x = 0 21 + 31x = -72 + 0 21 + 31x = -72 Add '-21' to each side of the equation. 21 + -21 + 31x = -72 + -21 Combine like terms: 21 + -21 = 0 0 + 31x = -72 + -21 31x = -72 + -21 Combine like terms: -72 + -21 = -93 31x = -93 Divide each side by '31'. x = -3 Simplifying x = -3
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