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Simplifying 12x + -1(5x + 7) + 23 = 3x Reorder the terms: 12x + -1(7 + 5x) + 23 = 3x 12x + (7 * -1 + 5x * -1) + 23 = 3x 12x + (-7 + -5x) + 23 = 3x Reorder the terms: -7 + 23 + 12x + -5x = 3x Combine like terms: -7 + 23 = 16 16 + 12x + -5x = 3x Combine like terms: 12x + -5x = 7x 16 + 7x = 3x Solving 16 + 7x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + 7x + -3x = 3x + -3x Combine like terms: 7x + -3x = 4x 16 + 4x = 3x + -3x Combine like terms: 3x + -3x = 0 16 + 4x = 0 Add '-16' to each side of the equation. 16 + -16 + 4x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 0 + -16 4x = 0 + -16 Combine like terms: 0 + -16 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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