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Simplifying 7 + -7a = -6x + -42 + a Reorder the terms: 7 + -7a = -42 + a + -6x Solving 7 + -7a = -42 + a + -6x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + -7a + -1a = -42 + a + -1a + -6x Combine like terms: -7a + -1a = -8a 7 + -8a = -42 + a + -1a + -6x Combine like terms: a + -1a = 0 7 + -8a = -42 + 0 + -6x 7 + -8a = -42 + -6x Add '-7' to each side of the equation. 7 + -7 + -8a = -42 + -7 + -6x Combine like terms: 7 + -7 = 0 0 + -8a = -42 + -7 + -6x -8a = -42 + -7 + -6x Combine like terms: -42 + -7 = -49 -8a = -49 + -6x Divide each side by '-8'. a = 6.125 + 0.75x Simplifying a = 6.125 + 0.75x
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