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