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Simplifying 2(x + -8) + 7 = 5(a + 2) + -3a + -19 Reorder the terms: 2(-8 + x) + 7 = 5(a + 2) + -3a + -19 (-8 * 2 + x * 2) + 7 = 5(a + 2) + -3a + -19 (-16 + 2x) + 7 = 5(a + 2) + -3a + -19 Reorder the terms: -16 + 7 + 2x = 5(a + 2) + -3a + -19 Combine like terms: -16 + 7 = -9 -9 + 2x = 5(a + 2) + -3a + -19 Reorder the terms: -9 + 2x = 5(2 + a) + -3a + -19 -9 + 2x = (2 * 5 + a * 5) + -3a + -19 -9 + 2x = (10 + 5a) + -3a + -19 Reorder the terms: -9 + 2x = 10 + -19 + 5a + -3a Combine like terms: 10 + -19 = -9 -9 + 2x = -9 + 5a + -3a Combine like terms: 5a + -3a = 2a -9 + 2x = -9 + 2a Add '9' to each side of the equation. -9 + 9 + 2x = -9 + 9 + 2a Combine like terms: -9 + 9 = 0 0 + 2x = -9 + 9 + 2a 2x = -9 + 9 + 2a Combine like terms: -9 + 9 = 0 2x = 0 + 2a 2x = 2a Solving 2x = 2a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = a Simplifying x = a
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