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Simplifying 3[7x + -7 + -2(x + 1)] = 6x + 7 Reorder the terms: 3[7x + -7 + -2(1 + x)] = 6x + 7 3[7x + -7 + (1 * -2 + x * -2)] = 6x + 7 3[7x + -7 + (-2 + -2x)] = 6x + 7 Reorder the terms: 3[-7 + -2 + 7x + -2x] = 6x + 7 Combine like terms: -7 + -2 = -9 3[-9 + 7x + -2x] = 6x + 7 Combine like terms: 7x + -2x = 5x 3[-9 + 5x] = 6x + 7 [-9 * 3 + 5x * 3] = 6x + 7 [-27 + 15x] = 6x + 7 Reorder the terms: -27 + 15x = 7 + 6x Solving -27 + 15x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -27 + 15x + -6x = 7 + 6x + -6x Combine like terms: 15x + -6x = 9x -27 + 9x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + 9x = 7 + 0 -27 + 9x = 7 Add '27' to each side of the equation. -27 + 27 + 9x = 7 + 27 Combine like terms: -27 + 27 = 0 0 + 9x = 7 + 27 9x = 7 + 27 Combine like terms: 7 + 27 = 34 9x = 34 Divide each side by '9'. x = 3.777777778 Simplifying x = 3.777777778
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