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Simplifying 8 + -24x + 9x + -9 = 5 + -5x + 6(100 + -2x) Reorder the terms: 8 + -9 + -24x + 9x = 5 + -5x + 6(100 + -2x) Combine like terms: 8 + -9 = -1 -1 + -24x + 9x = 5 + -5x + 6(100 + -2x) Combine like terms: -24x + 9x = -15x -1 + -15x = 5 + -5x + 6(100 + -2x) -1 + -15x = 5 + -5x + (100 * 6 + -2x * 6) -1 + -15x = 5 + -5x + (600 + -12x) Reorder the terms: -1 + -15x = 5 + 600 + -5x + -12x Combine like terms: 5 + 600 = 605 -1 + -15x = 605 + -5x + -12x Combine like terms: -5x + -12x = -17x -1 + -15x = 605 + -17x Solving -1 + -15x = 605 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -1 + -15x + 17x = 605 + -17x + 17x Combine like terms: -15x + 17x = 2x -1 + 2x = 605 + -17x + 17x Combine like terms: -17x + 17x = 0 -1 + 2x = 605 + 0 -1 + 2x = 605 Add '1' to each side of the equation. -1 + 1 + 2x = 605 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 605 + 1 2x = 605 + 1 Combine like terms: 605 + 1 = 606 2x = 606 Divide each side by '2'. x = 303 Simplifying x = 303
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