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Simplifying 9x + 2(-2x + -4) = 4 + -7x Reorder the terms: 9x + 2(-4 + -2x) = 4 + -7x 9x + (-4 * 2 + -2x * 2) = 4 + -7x 9x + (-8 + -4x) = 4 + -7x Reorder the terms: -8 + 9x + -4x = 4 + -7x Combine like terms: 9x + -4x = 5x -8 + 5x = 4 + -7x Solving -8 + 5x = 4 + -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. -8 + 5x + 7x = 4 + -7x + 7x Combine like terms: 5x + 7x = 12x -8 + 12x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 12x = 4 + 0 -8 + 12x = 4 Add '8' to each side of the equation. -8 + 8 + 12x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 4 + 8 12x = 4 + 8 Combine like terms: 4 + 8 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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