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Simplifying 14x + -6(x + -7) = 3x + 2 Reorder the terms: 14x + -6(-7 + x) = 3x + 2 14x + (-7 * -6 + x * -6) = 3x + 2 14x + (42 + -6x) = 3x + 2 Reorder the terms: 42 + 14x + -6x = 3x + 2 Combine like terms: 14x + -6x = 8x 42 + 8x = 3x + 2 Reorder the terms: 42 + 8x = 2 + 3x Solving 42 + 8x = 2 + 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. 42 + 8x + -3x = 2 + 3x + -3x Combine like terms: 8x + -3x = 5x 42 + 5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 5x = 2 + 0 42 + 5x = 2 Add '-42' to each side of the equation. 42 + -42 + 5x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 2 + -42 5x = 2 + -42 Combine like terms: 2 + -42 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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