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Simplifying -3x + 4(5x + -9) = 100 Reorder the terms: -3x + 4(-9 + 5x) = 100 -3x + (-9 * 4 + 5x * 4) = 100 -3x + (-36 + 20x) = 100 Reorder the terms: -36 + -3x + 20x = 100 Combine like terms: -3x + 20x = 17x -36 + 17x = 100 Solving -36 + 17x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 17x = 100 + 36 Combine like terms: -36 + 36 = 0 0 + 17x = 100 + 36 17x = 100 + 36 Combine like terms: 100 + 36 = 136 17x = 136 Divide each side by '17'. x = 8 Simplifying x = 8
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