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Simplifying -1(18 + -1x) + 7(3x + 5) = -1(2 + -4x) (18 * -1 + -1x * -1) + 7(3x + 5) = -1(2 + -4x) (-18 + 1x) + 7(3x + 5) = -1(2 + -4x) Reorder the terms: -18 + 1x + 7(5 + 3x) = -1(2 + -4x) -18 + 1x + (5 * 7 + 3x * 7) = -1(2 + -4x) -18 + 1x + (35 + 21x) = -1(2 + -4x) Reorder the terms: -18 + 35 + 1x + 21x = -1(2 + -4x) Combine like terms: -18 + 35 = 17 17 + 1x + 21x = -1(2 + -4x) Combine like terms: 1x + 21x = 22x 17 + 22x = -1(2 + -4x) 17 + 22x = (2 * -1 + -4x * -1) 17 + 22x = (-2 + 4x) Solving 17 + 22x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 22x + -4x = -2 + 4x + -4x Combine like terms: 22x + -4x = 18x 17 + 18x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 18x = -2 + 0 17 + 18x = -2 Add '-17' to each side of the equation. 17 + -17 + 18x = -2 + -17 Combine like terms: 17 + -17 = 0 0 + 18x = -2 + -17 18x = -2 + -17 Combine like terms: -2 + -17 = -19 18x = -19 Divide each side by '18'. x = -1.055555556 Simplifying x = -1.055555556
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