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Simplifying -2(x + 6) + 7x = 3x + 4 Reorder the terms: -2(6 + x) + 7x = 3x + 4 (6 * -2 + x * -2) + 7x = 3x + 4 (-12 + -2x) + 7x = 3x + 4 Combine like terms: -2x + 7x = 5x -12 + 5x = 3x + 4 Reorder the terms: -12 + 5x = 4 + 3x Solving -12 + 5x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + 5x + -3x = 4 + 3x + -3x Combine like terms: 5x + -3x = 2x -12 + 2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 2x = 4 + 0 -12 + 2x = 4 Add '12' to each side of the equation. -12 + 12 + 2x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 4 + 12 2x = 4 + 12 Combine like terms: 4 + 12 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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