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Simplifying 7(3 + -2x) = 14 + -6(x + -2) (3 * 7 + -2x * 7) = 14 + -6(x + -2) (21 + -14x) = 14 + -6(x + -2) Reorder the terms: 21 + -14x = 14 + -6(-2 + x) 21 + -14x = 14 + (-2 * -6 + x * -6) 21 + -14x = 14 + (12 + -6x) Combine like terms: 14 + 12 = 26 21 + -14x = 26 + -6x Solving 21 + -14x = 26 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 21 + -14x + 6x = 26 + -6x + 6x Combine like terms: -14x + 6x = -8x 21 + -8x = 26 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + -8x = 26 + 0 21 + -8x = 26 Add '-21' to each side of the equation. 21 + -21 + -8x = 26 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 26 + -21 -8x = 26 + -21 Combine like terms: 26 + -21 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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