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Simplifying 3 + 7(x + -5) = 4 + -5x Reorder the terms: 3 + 7(-5 + x) = 4 + -5x 3 + (-5 * 7 + x * 7) = 4 + -5x 3 + (-35 + 7x) = 4 + -5x Combine like terms: 3 + -35 = -32 -32 + 7x = 4 + -5x Solving -32 + 7x = 4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -32 + 7x + 5x = 4 + -5x + 5x Combine like terms: 7x + 5x = 12x -32 + 12x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 -32 + 12x = 4 + 0 -32 + 12x = 4 Add '32' to each side of the equation. -32 + 32 + 12x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 12x = 4 + 32 12x = 4 + 32 Combine like terms: 4 + 32 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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