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Simplifying -2[7x + 7 + 6(x + 1)] = -3x + 6 Reorder the terms: -2[7x + 7 + 6(1 + x)] = -3x + 6 -2[7x + 7 + (1 * 6 + x * 6)] = -3x + 6 -2[7x + 7 + (6 + 6x)] = -3x + 6 Reorder the terms: -2[7 + 6 + 7x + 6x] = -3x + 6 Combine like terms: 7 + 6 = 13 -2[13 + 7x + 6x] = -3x + 6 Combine like terms: 7x + 6x = 13x -2[13 + 13x] = -3x + 6 [13 * -2 + 13x * -2] = -3x + 6 [-26 + -26x] = -3x + 6 Reorder the terms: -26 + -26x = 6 + -3x Solving -26 + -26x = 6 + -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. -26 + -26x + 3x = 6 + -3x + 3x Combine like terms: -26x + 3x = -23x -26 + -23x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -26 + -23x = 6 + 0 -26 + -23x = 6 Add '26' to each side of the equation. -26 + 26 + -23x = 6 + 26 Combine like terms: -26 + 26 = 0 0 + -23x = 6 + 26 -23x = 6 + 26 Combine like terms: 6 + 26 = 32 -23x = 32 Divide each side by '-23'. x = -1.391304348 Simplifying x = -1.391304348
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