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Simplifying 2(ax + -4) = 5 + -3(x + -9) Reorder the terms: 2(-4 + ax) = 5 + -3(x + -9) (-4 * 2 + ax * 2) = 5 + -3(x + -9) (-8 + 2ax) = 5 + -3(x + -9) Reorder the terms: -8 + 2ax = 5 + -3(-9 + x) -8 + 2ax = 5 + (-9 * -3 + x * -3) -8 + 2ax = 5 + (27 + -3x) Combine like terms: 5 + 27 = 32 -8 + 2ax = 32 + -3x Solving -8 + 2ax = 32 + -3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2ax = 32 + 8 + -3x Combine like terms: -8 + 8 = 0 0 + 2ax = 32 + 8 + -3x 2ax = 32 + 8 + -3x Combine like terms: 32 + 8 = 40 2ax = 40 + -3x Divide each side by '2x'. a = 20x-1 + -1.5 Simplifying a = 20x-1 + -1.5 Reorder the terms: a = -1.5 + 20x-1
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