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Simplifying -9 + -2(3x + 8) = 3(2x + 5) + 8 Reorder the terms: -9 + -2(8 + 3x) = 3(2x + 5) + 8 -9 + (8 * -2 + 3x * -2) = 3(2x + 5) + 8 -9 + (-16 + -6x) = 3(2x + 5) + 8 Combine like terms: -9 + -16 = -25 -25 + -6x = 3(2x + 5) + 8 Reorder the terms: -25 + -6x = 3(5 + 2x) + 8 -25 + -6x = (5 * 3 + 2x * 3) + 8 -25 + -6x = (15 + 6x) + 8 Reorder the terms: -25 + -6x = 15 + 8 + 6x Combine like terms: 15 + 8 = 23 -25 + -6x = 23 + 6x Solving -25 + -6x = 23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -25 + -6x + -6x = 23 + 6x + -6x Combine like terms: -6x + -6x = -12x -25 + -12x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + -12x = 23 + 0 -25 + -12x = 23 Add '25' to each side of the equation. -25 + 25 + -12x = 23 + 25 Combine like terms: -25 + 25 = 0 0 + -12x = 23 + 25 -12x = 23 + 25 Combine like terms: 23 + 25 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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