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Simplifying 12x + 3 = (7x + 4) + -1(5 + -3x) Reorder the terms: 3 + 12x = (7x + 4) + -1(5 + -3x) Reorder the terms: 3 + 12x = (4 + 7x) + -1(5 + -3x) Remove parenthesis around (4 + 7x) 3 + 12x = 4 + 7x + -1(5 + -3x) 3 + 12x = 4 + 7x + (5 * -1 + -3x * -1) 3 + 12x = 4 + 7x + (-5 + 3x) Reorder the terms: 3 + 12x = 4 + -5 + 7x + 3x Combine like terms: 4 + -5 = -1 3 + 12x = -1 + 7x + 3x Combine like terms: 7x + 3x = 10x 3 + 12x = -1 + 10x Solving 3 + 12x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 12x + -10x = -1 + 10x + -10x Combine like terms: 12x + -10x = 2x 3 + 2x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + 2x = -1 + 0 3 + 2x = -1 Add '-3' to each side of the equation. 3 + -3 + 2x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -1 + -3 2x = -1 + -3 Combine like terms: -1 + -3 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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