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Simplifying -3x + 4(3x + -5) = -1(3 + 8x) Reorder the terms: -3x + 4(-5 + 3x) = -1(3 + 8x) -3x + (-5 * 4 + 3x * 4) = -1(3 + 8x) -3x + (-20 + 12x) = -1(3 + 8x) Reorder the terms: -20 + -3x + 12x = -1(3 + 8x) Combine like terms: -3x + 12x = 9x -20 + 9x = -1(3 + 8x) -20 + 9x = (3 * -1 + 8x * -1) -20 + 9x = (-3 + -8x) Solving -20 + 9x = -3 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -20 + 9x + 8x = -3 + -8x + 8x Combine like terms: 9x + 8x = 17x -20 + 17x = -3 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + 17x = -3 + 0 -20 + 17x = -3 Add '20' to each side of the equation. -20 + 20 + 17x = -3 + 20 Combine like terms: -20 + 20 = 0 0 + 17x = -3 + 20 17x = -3 + 20 Combine like terms: -3 + 20 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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