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Simplifying -83 = 3x + 4(-3x + 5) Reorder the terms: -83 = 3x + 4(5 + -3x) -83 = 3x + (5 * 4 + -3x * 4) -83 = 3x + (20 + -12x) Reorder the terms: -83 = 20 + 3x + -12x Combine like terms: 3x + -12x = -9x -83 = 20 + -9x Solving -83 = 20 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -83 + 9x = 20 + -9x + 9x Combine like terms: -9x + 9x = 0 -83 + 9x = 20 + 0 -83 + 9x = 20 Add '83' to each side of the equation. -83 + 83 + 9x = 20 + 83 Combine like terms: -83 + 83 = 0 0 + 9x = 20 + 83 9x = 20 + 83 Combine like terms: 20 + 83 = 103 9x = 103 Divide each side by '9'. x = 11.44444444 Simplifying x = 11.44444444
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