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Simplifying 3(x + 2) = 7(7 + -5x) + 28x Reorder the terms: 3(2 + x) = 7(7 + -5x) + 28x (2 * 3 + x * 3) = 7(7 + -5x) + 28x (6 + 3x) = 7(7 + -5x) + 28x 6 + 3x = (7 * 7 + -5x * 7) + 28x 6 + 3x = (49 + -35x) + 28x Combine like terms: -35x + 28x = -7x 6 + 3x = 49 + -7x Solving 6 + 3x = 49 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 6 + 3x + 7x = 49 + -7x + 7x Combine like terms: 3x + 7x = 10x 6 + 10x = 49 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 10x = 49 + 0 6 + 10x = 49 Add '-6' to each side of the equation. 6 + -6 + 10x = 49 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 49 + -6 10x = 49 + -6 Combine like terms: 49 + -6 = 43 10x = 43 Divide each side by '10'. x = 4.3 Simplifying x = 4.3
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