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Simplifying 5(x + -3) + ax = 2x + 23 Reorder the terms: 5(-3 + x) + ax = 2x + 23 (-3 * 5 + x * 5) + ax = 2x + 23 (-15 + 5x) + ax = 2x + 23 Reorder the terms: -15 + ax + 5x = 2x + 23 Reorder the terms: -15 + ax + 5x = 23 + 2x Solving -15 + ax + 5x = 23 + 2x 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 + ax + 15 + 5x = 23 + 15 + 2x Reorder the terms: -15 + 15 + ax + 5x = 23 + 15 + 2x Combine like terms: -15 + 15 = 0 0 + ax + 5x = 23 + 15 + 2x ax + 5x = 23 + 15 + 2x Combine like terms: 23 + 15 = 38 ax + 5x = 38 + 2x Add '-5x' to each side of the equation. ax + 5x + -5x = 38 + 2x + -5x Combine like terms: 5x + -5x = 0 ax + 0 = 38 + 2x + -5x ax = 38 + 2x + -5x Combine like terms: 2x + -5x = -3x ax = 38 + -3x Divide each side by 'x'. a = 38x-1 + -3 Simplifying a = 38x-1 + -3 Reorder the terms: a = -3 + 38x-1
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