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Simplifying 7(x + -1) + 2 = 2(2x + -13) Reorder the terms: 7(-1 + x) + 2 = 2(2x + -13) (-1 * 7 + x * 7) + 2 = 2(2x + -13) (-7 + 7x) + 2 = 2(2x + -13) Reorder the terms: -7 + 2 + 7x = 2(2x + -13) Combine like terms: -7 + 2 = -5 -5 + 7x = 2(2x + -13) Reorder the terms: -5 + 7x = 2(-13 + 2x) -5 + 7x = (-13 * 2 + 2x * 2) -5 + 7x = (-26 + 4x) Solving -5 + 7x = -26 + 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. -5 + 7x + -4x = -26 + 4x + -4x Combine like terms: 7x + -4x = 3x -5 + 3x = -26 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 3x = -26 + 0 -5 + 3x = -26 Add '5' to each side of the equation. -5 + 5 + 3x = -26 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -26 + 5 3x = -26 + 5 Combine like terms: -26 + 5 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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