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Simplifying 30 + 7(3 + -2x) = 21 + -8x 30 + (3 * 7 + -2x * 7) = 21 + -8x 30 + (21 + -14x) = 21 + -8x Combine like terms: 30 + 21 = 51 51 + -14x = 21 + -8x Solving 51 + -14x = 21 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 51 + -14x + 8x = 21 + -8x + 8x Combine like terms: -14x + 8x = -6x 51 + -6x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 51 + -6x = 21 + 0 51 + -6x = 21 Add '-51' to each side of the equation. 51 + -51 + -6x = 21 + -51 Combine like terms: 51 + -51 = 0 0 + -6x = 21 + -51 -6x = 21 + -51 Combine like terms: 21 + -51 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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