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Simplifying 7x + -2(x + -2) = 3(3x + 4) Reorder the terms: 7x + -2(-2 + x) = 3(3x + 4) 7x + (-2 * -2 + x * -2) = 3(3x + 4) 7x + (4 + -2x) = 3(3x + 4) Reorder the terms: 4 + 7x + -2x = 3(3x + 4) Combine like terms: 7x + -2x = 5x 4 + 5x = 3(3x + 4) Reorder the terms: 4 + 5x = 3(4 + 3x) 4 + 5x = (4 * 3 + 3x * 3) 4 + 5x = (12 + 9x) Solving 4 + 5x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 5x + -9x = 12 + 9x + -9x Combine like terms: 5x + -9x = -4x 4 + -4x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -4x = 12 + 0 4 + -4x = 12 Add '-4' to each side of the equation. 4 + -4 + -4x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 12 + -4 -4x = 12 + -4 Combine like terms: 12 + -4 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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