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Simplifying 6x + -1(14 + -1(x + -4)) = 7x + -1(2x + -19 + -1(3x + 2)) Reorder the terms: 6x + -1(14 + -1(-4 + x)) = 7x + -1(2x + -19 + -1(3x + 2)) 6x + -1(14 + (-4 * -1 + x * -1)) = 7x + -1(2x + -19 + -1(3x + 2)) 6x + -1(14 + (4 + -1x)) = 7x + -1(2x + -19 + -1(3x + 2)) Combine like terms: 14 + 4 = 18 6x + -1(18 + -1x) = 7x + -1(2x + -19 + -1(3x + 2)) 6x + (18 * -1 + -1x * -1) = 7x + -1(2x + -19 + -1(3x + 2)) 6x + (-18 + 1x) = 7x + -1(2x + -19 + -1(3x + 2)) Reorder the terms: -18 + 6x + 1x = 7x + -1(2x + -19 + -1(3x + 2)) Combine like terms: 6x + 1x = 7x -18 + 7x = 7x + -1(2x + -19 + -1(3x + 2)) Reorder the terms: -18 + 7x = 7x + -1(2x + -19 + -1(2 + 3x)) -18 + 7x = 7x + -1(2x + -19 + (2 * -1 + 3x * -1)) -18 + 7x = 7x + -1(2x + -19 + (-2 + -3x)) Reorder the terms: -18 + 7x = 7x + -1(-19 + -2 + 2x + -3x) Combine like terms: -19 + -2 = -21 -18 + 7x = 7x + -1(-21 + 2x + -3x) Combine like terms: 2x + -3x = -1x -18 + 7x = 7x + -1(-21 + -1x) -18 + 7x = 7x + (-21 * -1 + -1x * -1) -18 + 7x = 7x + (21 + 1x) Reorder the terms: -18 + 7x = 21 + 7x + 1x Combine like terms: 7x + 1x = 8x -18 + 7x = 21 + 8x Solving -18 + 7x = 21 + 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. -18 + 7x + -8x = 21 + 8x + -8x Combine like terms: 7x + -8x = -1x -18 + -1x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -1x = 21 + 0 -18 + -1x = 21 Add '18' to each side of the equation. -18 + 18 + -1x = 21 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 21 + 18 -1x = 21 + 18 Combine like terms: 21 + 18 = 39 -1x = 39 Divide each side by '-1'. x = -39 Simplifying x = -39
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