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Simplifying 6 + -7(2x + -1) = 3x + -21 Reorder the terms: 6 + -7(-1 + 2x) = 3x + -21 6 + (-1 * -7 + 2x * -7) = 3x + -21 6 + (7 + -14x) = 3x + -21 Combine like terms: 6 + 7 = 13 13 + -14x = 3x + -21 Reorder the terms: 13 + -14x = -21 + 3x Solving 13 + -14x = -21 + 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. 13 + -14x + -3x = -21 + 3x + -3x Combine like terms: -14x + -3x = -17x 13 + -17x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -17x = -21 + 0 13 + -17x = -21 Add '-13' to each side of the equation. 13 + -13 + -17x = -21 + -13 Combine like terms: 13 + -13 = 0 0 + -17x = -21 + -13 -17x = -21 + -13 Combine like terms: -21 + -13 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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