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Simplifying 7a + 5(x + -1) = 5 + 12x Reorder the terms: 7a + 5(-1 + x) = 5 + 12x 7a + (-1 * 5 + x * 5) = 5 + 12x 7a + (-5 + 5x) = 5 + 12x Reorder the terms: -5 + 7a + 5x = 5 + 12x Solving -5 + 7a + 5x = 5 + 12x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 7a + 5 + 5x = 5 + 5 + 12x Reorder the terms: -5 + 5 + 7a + 5x = 5 + 5 + 12x Combine like terms: -5 + 5 = 0 0 + 7a + 5x = 5 + 5 + 12x 7a + 5x = 5 + 5 + 12x Combine like terms: 5 + 5 = 10 7a + 5x = 10 + 12x Add '-5x' to each side of the equation. 7a + 5x + -5x = 10 + 12x + -5x Combine like terms: 5x + -5x = 0 7a + 0 = 10 + 12x + -5x 7a = 10 + 12x + -5x Combine like terms: 12x + -5x = 7x 7a = 10 + 7x Divide each side by '7'. a = 1.428571429 + x Simplifying a = 1.428571429 + x
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