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Simplifying 6 + -7(a + 1) + -7x = 6 + 5x + -2 Reorder the terms: 6 + -7(1 + a) + -7x = 6 + 5x + -2 6 + (1 * -7 + a * -7) + -7x = 6 + 5x + -2 6 + (-7 + -7a) + -7x = 6 + 5x + -2 Combine like terms: 6 + -7 = -1 -1 + -7a + -7x = 6 + 5x + -2 Reorder the terms: -1 + -7a + -7x = 6 + -2 + 5x Combine like terms: 6 + -2 = 4 -1 + -7a + -7x = 4 + 5x Solving -1 + -7a + -7x = 4 + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -7a + 1 + -7x = 4 + 1 + 5x Reorder the terms: -1 + 1 + -7a + -7x = 4 + 1 + 5x Combine like terms: -1 + 1 = 0 0 + -7a + -7x = 4 + 1 + 5x -7a + -7x = 4 + 1 + 5x Combine like terms: 4 + 1 = 5 -7a + -7x = 5 + 5x Add '7x' to each side of the equation. -7a + -7x + 7x = 5 + 5x + 7x Combine like terms: -7x + 7x = 0 -7a + 0 = 5 + 5x + 7x -7a = 5 + 5x + 7x Combine like terms: 5x + 7x = 12x -7a = 5 + 12x Divide each side by '-7'. a = -0.7142857143 + -1.714285714x Simplifying a = -0.7142857143 + -1.714285714x
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