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Simplifying 7(2x + 3) = 4(2 + -3x) Reorder the terms: 7(3 + 2x) = 4(2 + -3x) (3 * 7 + 2x * 7) = 4(2 + -3x) (21 + 14x) = 4(2 + -3x) 21 + 14x = (2 * 4 + -3x * 4) 21 + 14x = (8 + -12x) Solving 21 + 14x = 8 + -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. 21 + 14x + 12x = 8 + -12x + 12x Combine like terms: 14x + 12x = 26x 21 + 26x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 21 + 26x = 8 + 0 21 + 26x = 8 Add '-21' to each side of the equation. 21 + -21 + 26x = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 26x = 8 + -21 26x = 8 + -21 Combine like terms: 8 + -21 = -13 26x = -13 Divide each side by '26'. x = -0.5 Simplifying x = -0.5
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