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Simplifying ax + bx + cx + 5x + -10 = 7x + 2 Reorder the terms: -10 + ax + bx + cx + 5x = 7x + 2 Reorder the terms: -10 + ax + bx + cx + 5x = 2 + 7x Solving -10 + ax + bx + cx + 5x = 2 + 7x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + ax + bx + cx + 10 + 5x = 2 + 10 + 7x Reorder the terms: -10 + 10 + ax + bx + cx + 5x = 2 + 10 + 7x Combine like terms: -10 + 10 = 0 0 + ax + bx + cx + 5x = 2 + 10 + 7x ax + bx + cx + 5x = 2 + 10 + 7x Combine like terms: 2 + 10 = 12 ax + bx + cx + 5x = 12 + 7x Add '-1bx' to each side of the equation. ax + bx + cx + -1bx + 5x = 12 + -1bx + 7x Reorder the terms: ax + bx + -1bx + cx + 5x = 12 + -1bx + 7x Combine like terms: bx + -1bx = 0 ax + 0 + cx + 5x = 12 + -1bx + 7x ax + cx + 5x = 12 + -1bx + 7x Add '-1cx' to each side of the equation. ax + cx + -1cx + 5x = 12 + -1bx + -1cx + 7x Combine like terms: cx + -1cx = 0 ax + 0 + 5x = 12 + -1bx + -1cx + 7x ax + 5x = 12 + -1bx + -1cx + 7x Add '-5x' to each side of the equation. ax + 5x + -5x = 12 + -1bx + -1cx + 7x + -5x Combine like terms: 5x + -5x = 0 ax + 0 = 12 + -1bx + -1cx + 7x + -5x ax = 12 + -1bx + -1cx + 7x + -5x Combine like terms: 7x + -5x = 2x ax = 12 + -1bx + -1cx + 2x Divide each side by 'x'. a = 12x-1 + -1b + -1c + 2 Simplifying a = 12x-1 + -1b + -1c + 2 Reorder the terms: a = 2 + -1b + -1c + 12x-1
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