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Simplifying 3 + -2(x + 4) = 5 + -7x Reorder the terms: 3 + -2(4 + x) = 5 + -7x 3 + (4 * -2 + x * -2) = 5 + -7x 3 + (-8 + -2x) = 5 + -7x Combine like terms: 3 + -8 = -5 -5 + -2x = 5 + -7x Solving -5 + -2x = 5 + -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. -5 + -2x + 7x = 5 + -7x + 7x Combine like terms: -2x + 7x = 5x -5 + 5x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 5x = 5 + 0 -5 + 5x = 5 Add '5' to each side of the equation. -5 + 5 + 5x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 5 + 5 5x = 5 + 5 Combine like terms: 5 + 5 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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