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Simplifying -2ax + 6(6x + 3) = -4x + 1 Reorder the terms: -2ax + 6(3 + 6x) = -4x + 1 -2ax + (3 * 6 + 6x * 6) = -4x + 1 -2ax + (18 + 36x) = -4x + 1 Reorder the terms: 18 + -2ax + 36x = -4x + 1 Reorder the terms: 18 + -2ax + 36x = 1 + -4x Solving 18 + -2ax + 36x = 1 + -4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -2ax + -18 + 36x = 1 + -18 + -4x Reorder the terms: 18 + -18 + -2ax + 36x = 1 + -18 + -4x Combine like terms: 18 + -18 = 0 0 + -2ax + 36x = 1 + -18 + -4x -2ax + 36x = 1 + -18 + -4x Combine like terms: 1 + -18 = -17 -2ax + 36x = -17 + -4x Add '-36x' to each side of the equation. -2ax + 36x + -36x = -17 + -4x + -36x Combine like terms: 36x + -36x = 0 -2ax + 0 = -17 + -4x + -36x -2ax = -17 + -4x + -36x Combine like terms: -4x + -36x = -40x -2ax = -17 + -40x Divide each side by '-2x'. a = 8.5x-1 + 20 Simplifying a = 8.5x-1 + 20 Reorder the terms: a = 20 + 8.5x-1
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