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Simplifying 2(a + 5) + x = 4x + -8 Reorder the terms: 2(5 + a) + x = 4x + -8 (5 * 2 + a * 2) + x = 4x + -8 (10 + 2a) + x = 4x + -8 Reorder the terms: 10 + 2a + x = -8 + 4x Solving 10 + 2a + x = -8 + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2a + -10 + x = -8 + -10 + 4x Reorder the terms: 10 + -10 + 2a + x = -8 + -10 + 4x Combine like terms: 10 + -10 = 0 0 + 2a + x = -8 + -10 + 4x 2a + x = -8 + -10 + 4x Combine like terms: -8 + -10 = -18 2a + x = -18 + 4x Add '-1x' to each side of the equation. 2a + x + -1x = -18 + 4x + -1x Combine like terms: x + -1x = 0 2a + 0 = -18 + 4x + -1x 2a = -18 + 4x + -1x Combine like terms: 4x + -1x = 3x 2a = -18 + 3x Divide each side by '2'. a = -9 + 1.5x Simplifying a = -9 + 1.5x
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