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Simplifying 3x + -2(6 + -1x) = 7x + 1(5 + x) + -6 3x + (6 * -2 + -1x * -2) = 7x + 1(5 + x) + -6 3x + (-12 + 2x) = 7x + 1(5 + x) + -6 Reorder the terms: -12 + 3x + 2x = 7x + 1(5 + x) + -6 Combine like terms: 3x + 2x = 5x -12 + 5x = 7x + 1(5 + x) + -6 -12 + 5x = 7x + (5 * 1 + x * 1) + -6 -12 + 5x = 7x + (5 + 1x) + -6 Reorder the terms: -12 + 5x = 5 + -6 + 7x + 1x Combine like terms: 5 + -6 = -1 -12 + 5x = -1 + 7x + 1x Combine like terms: 7x + 1x = 8x -12 + 5x = -1 + 8x Solving -12 + 5x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 5x + -8x = -1 + 8x + -8x Combine like terms: 5x + -8x = -3x -12 + -3x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -3x = -1 + 0 -12 + -3x = -1 Add '12' to each side of the equation. -12 + 12 + -3x = -1 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -1 + 12 -3x = -1 + 12 Combine like terms: -1 + 12 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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