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Simplifying 7(x + 1) + -3a = 5 + 4(2x + -1) Reorder the terms: 7(1 + x) + -3a = 5 + 4(2x + -1) (1 * 7 + x * 7) + -3a = 5 + 4(2x + -1) (7 + 7x) + -3a = 5 + 4(2x + -1) Reorder the terms: 7 + -3a + 7x = 5 + 4(2x + -1) Reorder the terms: 7 + -3a + 7x = 5 + 4(-1 + 2x) 7 + -3a + 7x = 5 + (-1 * 4 + 2x * 4) 7 + -3a + 7x = 5 + (-4 + 8x) Combine like terms: 5 + -4 = 1 7 + -3a + 7x = 1 + 8x Solving 7 + -3a + 7x = 1 + 8x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3a + -7 + 7x = 1 + -7 + 8x Reorder the terms: 7 + -7 + -3a + 7x = 1 + -7 + 8x Combine like terms: 7 + -7 = 0 0 + -3a + 7x = 1 + -7 + 8x -3a + 7x = 1 + -7 + 8x Combine like terms: 1 + -7 = -6 -3a + 7x = -6 + 8x Add '-7x' to each side of the equation. -3a + 7x + -7x = -6 + 8x + -7x Combine like terms: 7x + -7x = 0 -3a + 0 = -6 + 8x + -7x -3a = -6 + 8x + -7x Combine like terms: 8x + -7x = 1x -3a = -6 + 1x Divide each side by '-3'. a = 2 + -0.3333333333x Simplifying a = 2 + -0.3333333333x
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