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Simplifying 3(2x + -5) + 2(ax + b) = 12 + -7 Reorder the terms: 3(-5 + 2x) + 2(ax + b) = 12 + -7 (-5 * 3 + 2x * 3) + 2(ax + b) = 12 + -7 (-15 + 6x) + 2(ax + b) = 12 + -7 -15 + 6x + (ax * 2 + b * 2) = 12 + -7 -15 + 6x + (2ax + 2b) = 12 + -7 Reorder the terms: -15 + 2ax + 2b + 6x = 12 + -7 Combine like terms: 12 + -7 = 5 -15 + 2ax + 2b + 6x = 5 Solving -15 + 2ax + 2b + 6x = 5 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 + 2b + 15 + 6x = 5 + 15 Reorder the terms: -15 + 15 + 2ax + 2b + 6x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 2ax + 2b + 6x = 5 + 15 2ax + 2b + 6x = 5 + 15 Combine like terms: 5 + 15 = 20 2ax + 2b + 6x = 20 Add '-2b' to each side of the equation. 2ax + 2b + -2b + 6x = 20 + -2b Combine like terms: 2b + -2b = 0 2ax + 0 + 6x = 20 + -2b 2ax + 6x = 20 + -2b Add '-6x' to each side of the equation. 2ax + 6x + -6x = 20 + -2b + -6x Combine like terms: 6x + -6x = 0 2ax + 0 = 20 + -2b + -6x 2ax = 20 + -2b + -6x Divide each side by '2x'. a = 10x-1 + -1bx-1 + -3 Simplifying a = 10x-1 + -1bx-1 + -3 Reorder the terms: a = -3 + -1bx-1 + 10x-1
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