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Simplifying 1800 = (a + 10)(x + -30) Reorder the terms: 1800 = (10 + a)(x + -30) Reorder the terms: 1800 = (10 + a)(-30 + x) Multiply (10 + a) * (-30 + x) 1800 = (10(-30 + x) + a(-30 + x)) 1800 = ((-30 * 10 + x * 10) + a(-30 + x)) 1800 = ((-300 + 10x) + a(-30 + x)) 1800 = (-300 + 10x + (-30 * a + x * a)) 1800 = (-300 + 10x + (-30a + ax)) Reorder the terms: 1800 = (-300 + -30a + ax + 10x) 1800 = (-300 + -30a + ax + 10x) Solving 1800 = -300 + -30a + ax + 10x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30a' to each side of the equation. 1800 + 30a = -300 + -30a + ax + 30a + 10x Reorder the terms: 1800 + 30a = -300 + -30a + 30a + ax + 10x Combine like terms: -30a + 30a = 0 1800 + 30a = -300 + 0 + ax + 10x 1800 + 30a = -300 + ax + 10x Add '-1ax' to each side of the equation. 1800 + 30a + -1ax = -300 + ax + -1ax + 10x Combine like terms: ax + -1ax = 0 1800 + 30a + -1ax = -300 + 0 + 10x 1800 + 30a + -1ax = -300 + 10x Add '-1800' to each side of the equation. 1800 + 30a + -1800 + -1ax = -300 + -1800 + 10x Reorder the terms: 1800 + -1800 + 30a + -1ax = -300 + -1800 + 10x Combine like terms: 1800 + -1800 = 0 0 + 30a + -1ax = -300 + -1800 + 10x 30a + -1ax = -300 + -1800 + 10x Combine like terms: -300 + -1800 = -2100 30a + -1ax = -2100 + 10x Reorder the terms: 2100 + 30a + -1ax + -10x = -2100 + 10x + 2100 + -10x Reorder the terms: 2100 + 30a + -1ax + -10x = -2100 + 2100 + 10x + -10x Combine like terms: -2100 + 2100 = 0 2100 + 30a + -1ax + -10x = 0 + 10x + -10x 2100 + 30a + -1ax + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 2100 + 30a + -1ax + -10x = 0 The solution to this equation could not be determined.
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