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Simplifying -1[6x + 3 + 7(x + 1)] = 3x + 1 Reorder the terms: -1[6x + 3 + 7(1 + x)] = 3x + 1 -1[6x + 3 + (1 * 7 + x * 7)] = 3x + 1 -1[6x + 3 + (7 + 7x)] = 3x + 1 Reorder the terms: -1[3 + 7 + 6x + 7x] = 3x + 1 Combine like terms: 3 + 7 = 10 -1[10 + 6x + 7x] = 3x + 1 Combine like terms: 6x + 7x = 13x -1[10 + 13x] = 3x + 1 [10 * -1 + 13x * -1] = 3x + 1 [-10 + -13x] = 3x + 1 Reorder the terms: -10 + -13x = 1 + 3x Solving -10 + -13x = 1 + 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. -10 + -13x + -3x = 1 + 3x + -3x Combine like terms: -13x + -3x = -16x -10 + -16x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -16x = 1 + 0 -10 + -16x = 1 Add '10' to each side of the equation. -10 + 10 + -16x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -16x = 1 + 10 -16x = 1 + 10 Combine like terms: 1 + 10 = 11 -16x = 11 Divide each side by '-16'. x = -0.6875 Simplifying x = -0.6875
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