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Simplifying 5(2x + -3) + 2ax = 6x + 2 Reorder the terms: 5(-3 + 2x) + 2ax = 6x + 2 (-3 * 5 + 2x * 5) + 2ax = 6x + 2 (-15 + 10x) + 2ax = 6x + 2 Reorder the terms: -15 + 2ax + 10x = 6x + 2 Reorder the terms: -15 + 2ax + 10x = 2 + 6x Solving -15 + 2ax + 10x = 2 + 6x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 2ax + 15 + 10x = 2 + 15 + 6x Reorder the terms: -15 + 15 + 2ax + 10x = 2 + 15 + 6x Combine like terms: -15 + 15 = 0 0 + 2ax + 10x = 2 + 15 + 6x 2ax + 10x = 2 + 15 + 6x Combine like terms: 2 + 15 = 17 2ax + 10x = 17 + 6x Add '-10x' to each side of the equation. 2ax + 10x + -10x = 17 + 6x + -10x Combine like terms: 10x + -10x = 0 2ax + 0 = 17 + 6x + -10x 2ax = 17 + 6x + -10x Combine like terms: 6x + -10x = -4x 2ax = 17 + -4x Divide each side by '2x'. a = 8.5x-1 + -2 Simplifying a = 8.5x-1 + -2 Reorder the terms: a = -2 + 8.5x-1
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