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Simplifying 12x + -1(5x + 7) + 13 = 4x Reorder the terms: 12x + -1(7 + 5x) + 13 = 4x 12x + (7 * -1 + 5x * -1) + 13 = 4x 12x + (-7 + -5x) + 13 = 4x Reorder the terms: -7 + 13 + 12x + -5x = 4x Combine like terms: -7 + 13 = 6 6 + 12x + -5x = 4x Combine like terms: 12x + -5x = 7x 6 + 7x = 4x Solving 6 + 7x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 7x + -4x = 4x + -4x Combine like terms: 7x + -4x = 3x 6 + 3x = 4x + -4x Combine like terms: 4x + -4x = 0 6 + 3x = 0 Add '-6' to each side of the equation. 6 + -6 + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 0 + -6 3x = 0 + -6 Combine like terms: 0 + -6 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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