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Simplifying 4600 + -1(100 + 3x) = 0 4600 + (100 * -1 + 3x * -1) = 0 4600 + (-100 + -3x) = 0 Combine like terms: 4600 + -100 = 4500 4500 + -3x = 0 Solving 4500 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4500' to each side of the equation. 4500 + -4500 + -3x = 0 + -4500 Combine like terms: 4500 + -4500 = 0 0 + -3x = 0 + -4500 -3x = 0 + -4500 Combine like terms: 0 + -4500 = -4500 -3x = -4500 Divide each side by '-3'. x = 1500 Simplifying x = 1500
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