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Simplifying 12x + -1(4x + 7) + 17 = 3x Reorder the terms: 12x + -1(7 + 4x) + 17 = 3x 12x + (7 * -1 + 4x * -1) + 17 = 3x 12x + (-7 + -4x) + 17 = 3x Reorder the terms: -7 + 17 + 12x + -4x = 3x Combine like terms: -7 + 17 = 10 10 + 12x + -4x = 3x Combine like terms: 12x + -4x = 8x 10 + 8x = 3x Solving 10 + 8x = 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. 10 + 8x + -3x = 3x + -3x Combine like terms: 8x + -3x = 5x 10 + 5x = 3x + -3x Combine like terms: 3x + -3x = 0 10 + 5x = 0 Add '-10' to each side of the equation. 10 + -10 + 5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 0 + -10 5x = 0 + -10 Combine like terms: 0 + -10 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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