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Simplifying 14x + -3(2x + -7) = 3x + 1 Reorder the terms: 14x + -3(-7 + 2x) = 3x + 1 14x + (-7 * -3 + 2x * -3) = 3x + 1 14x + (21 + -6x) = 3x + 1 Reorder the terms: 21 + 14x + -6x = 3x + 1 Combine like terms: 14x + -6x = 8x 21 + 8x = 3x + 1 Reorder the terms: 21 + 8x = 1 + 3x Solving 21 + 8x = 1 + 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. 21 + 8x + -3x = 1 + 3x + -3x Combine like terms: 8x + -3x = 5x 21 + 5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 5x = 1 + 0 21 + 5x = 1 Add '-21' to each side of the equation. 21 + -21 + 5x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 1 + -21 5x = 1 + -21 Combine like terms: 1 + -21 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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