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Simplifying 2(x + 7) + 8 = -4(3x + -9) Reorder the terms: 2(7 + x) + 8 = -4(3x + -9) (7 * 2 + x * 2) + 8 = -4(3x + -9) (14 + 2x) + 8 = -4(3x + -9) Reorder the terms: 14 + 8 + 2x = -4(3x + -9) Combine like terms: 14 + 8 = 22 22 + 2x = -4(3x + -9) Reorder the terms: 22 + 2x = -4(-9 + 3x) 22 + 2x = (-9 * -4 + 3x * -4) 22 + 2x = (36 + -12x) Solving 22 + 2x = 36 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 22 + 2x + 12x = 36 + -12x + 12x Combine like terms: 2x + 12x = 14x 22 + 14x = 36 + -12x + 12x Combine like terms: -12x + 12x = 0 22 + 14x = 36 + 0 22 + 14x = 36 Add '-22' to each side of the equation. 22 + -22 + 14x = 36 + -22 Combine like terms: 22 + -22 = 0 0 + 14x = 36 + -22 14x = 36 + -22 Combine like terms: 36 + -22 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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