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Simplifying 7(2a + -2) + -1(2a + 2) = 4(a + 2) + x Reorder the terms: 7(-2 + 2a) + -1(2a + 2) = 4(a + 2) + x (-2 * 7 + 2a * 7) + -1(2a + 2) = 4(a + 2) + x (-14 + 14a) + -1(2a + 2) = 4(a + 2) + x Reorder the terms: -14 + 14a + -1(2 + 2a) = 4(a + 2) + x -14 + 14a + (2 * -1 + 2a * -1) = 4(a + 2) + x -14 + 14a + (-2 + -2a) = 4(a + 2) + x Reorder the terms: -14 + -2 + 14a + -2a = 4(a + 2) + x Combine like terms: -14 + -2 = -16 -16 + 14a + -2a = 4(a + 2) + x Combine like terms: 14a + -2a = 12a -16 + 12a = 4(a + 2) + x Reorder the terms: -16 + 12a = 4(2 + a) + x -16 + 12a = (2 * 4 + a * 4) + x -16 + 12a = (8 + 4a) + x Solving -16 + 12a = 8 + 4a + x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -16 + 12a + -4a = 8 + 4a + -4a + x Combine like terms: 12a + -4a = 8a -16 + 8a = 8 + 4a + -4a + x Combine like terms: 4a + -4a = 0 -16 + 8a = 8 + 0 + x -16 + 8a = 8 + x Add '16' to each side of the equation. -16 + 16 + 8a = 8 + 16 + x Combine like terms: -16 + 16 = 0 0 + 8a = 8 + 16 + x 8a = 8 + 16 + x Combine like terms: 8 + 16 = 24 8a = 24 + x Divide each side by '8'. a = 3 + 0.125x Simplifying a = 3 + 0.125x
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