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Simplifying 7x + 2[3(2x + -1) + -4x] = 5x + 6 Reorder the terms: 7x + 2[3(-1 + 2x) + -4x] = 5x + 6 7x + 2[(-1 * 3 + 2x * 3) + -4x] = 5x + 6 7x + 2[(-3 + 6x) + -4x] = 5x + 6 Combine like terms: 6x + -4x = 2x 7x + 2[-3 + 2x] = 5x + 6 7x + [-3 * 2 + 2x * 2] = 5x + 6 7x + [-6 + 4x] = 5x + 6 Reorder the terms: -6 + 7x + 4x = 5x + 6 Combine like terms: 7x + 4x = 11x -6 + 11x = 5x + 6 Reorder the terms: -6 + 11x = 6 + 5x Solving -6 + 11x = 6 + 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. -6 + 11x + -5x = 6 + 5x + -5x Combine like terms: 11x + -5x = 6x -6 + 6x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 6x = 6 + 0 -6 + 6x = 6 Add '6' to each side of the equation. -6 + 6 + 6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 6 + 6 6x = 6 + 6 Combine like terms: 6 + 6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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