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Simplifying 4 + -1(5 + -8x) = 3x + 9(3 + x) 4 + (5 * -1 + -8x * -1) = 3x + 9(3 + x) 4 + (-5 + 8x) = 3x + 9(3 + x) Combine like terms: 4 + -5 = -1 -1 + 8x = 3x + 9(3 + x) -1 + 8x = 3x + (3 * 9 + x * 9) -1 + 8x = 3x + (27 + 9x) Reorder the terms: -1 + 8x = 27 + 3x + 9x Combine like terms: 3x + 9x = 12x -1 + 8x = 27 + 12x Solving -1 + 8x = 27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 8x + -12x = 27 + 12x + -12x Combine like terms: 8x + -12x = -4x -1 + -4x = 27 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -4x = 27 + 0 -1 + -4x = 27 Add '1' to each side of the equation. -1 + 1 + -4x = 27 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 27 + 1 -4x = 27 + 1 Combine like terms: 27 + 1 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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