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Simplifying -1(4x + 2) + -6(x + 3) = 4 + -1(7x + 1) Reorder the terms: -1(2 + 4x) + -6(x + 3) = 4 + -1(7x + 1) (2 * -1 + 4x * -1) + -6(x + 3) = 4 + -1(7x + 1) (-2 + -4x) + -6(x + 3) = 4 + -1(7x + 1) Reorder the terms: -2 + -4x + -6(3 + x) = 4 + -1(7x + 1) -2 + -4x + (3 * -6 + x * -6) = 4 + -1(7x + 1) -2 + -4x + (-18 + -6x) = 4 + -1(7x + 1) Reorder the terms: -2 + -18 + -4x + -6x = 4 + -1(7x + 1) Combine like terms: -2 + -18 = -20 -20 + -4x + -6x = 4 + -1(7x + 1) Combine like terms: -4x + -6x = -10x -20 + -10x = 4 + -1(7x + 1) Reorder the terms: -20 + -10x = 4 + -1(1 + 7x) -20 + -10x = 4 + (1 * -1 + 7x * -1) -20 + -10x = 4 + (-1 + -7x) Combine like terms: 4 + -1 = 3 -20 + -10x = 3 + -7x Solving -20 + -10x = 3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -20 + -10x + 7x = 3 + -7x + 7x Combine like terms: -10x + 7x = -3x -20 + -3x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + -3x = 3 + 0 -20 + -3x = 3 Add '20' to each side of the equation. -20 + 20 + -3x = 3 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 3 + 20 -3x = 3 + 20 Combine like terms: 3 + 20 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667
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