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Simplifying 13(x + 300) = 600 + -9x Reorder the terms: 13(300 + x) = 600 + -9x (300 * 13 + x * 13) = 600 + -9x (3900 + 13x) = 600 + -9x Solving 3900 + 13x = 600 + -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. 3900 + 13x + 9x = 600 + -9x + 9x Combine like terms: 13x + 9x = 22x 3900 + 22x = 600 + -9x + 9x Combine like terms: -9x + 9x = 0 3900 + 22x = 600 + 0 3900 + 22x = 600 Add '-3900' to each side of the equation. 3900 + -3900 + 22x = 600 + -3900 Combine like terms: 3900 + -3900 = 0 0 + 22x = 600 + -3900 22x = 600 + -3900 Combine like terms: 600 + -3900 = -3300 22x = -3300 Divide each side by '22'. x = -150 Simplifying x = -150
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