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Simplifying 16(a + -1x) = 4(2x + -1a) (a * 16 + -1x * 16) = 4(2x + -1a) (16a + -16x) = 4(2x + -1a) Reorder the terms: 16a + -16x = 4(-1a + 2x) 16a + -16x = (-1a * 4 + 2x * 4) 16a + -16x = (-4a + 8x) Solving 16a + -16x = -4a + 8x 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. 16a + 4a + -16x = -4a + 4a + 8x Combine like terms: 16a + 4a = 20a 20a + -16x = -4a + 4a + 8x Combine like terms: -4a + 4a = 0 20a + -16x = 0 + 8x 20a + -16x = 8x Add '16x' to each side of the equation. 20a + -16x + 16x = 8x + 16x Combine like terms: -16x + 16x = 0 20a + 0 = 8x + 16x 20a = 8x + 16x Combine like terms: 8x + 16x = 24x 20a = 24x Divide each side by '20'. a = 1.2x Simplifying a = 1.2x
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