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Simplifying -2(7 + -7x) = -1 + 2(3 + 5x) (7 * -2 + -7x * -2) = -1 + 2(3 + 5x) (-14 + 14x) = -1 + 2(3 + 5x) -14 + 14x = -1 + (3 * 2 + 5x * 2) -14 + 14x = -1 + (6 + 10x) Combine like terms: -1 + 6 = 5 -14 + 14x = 5 + 10x Solving -14 + 14x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + 14x + -10x = 5 + 10x + -10x Combine like terms: 14x + -10x = 4x -14 + 4x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + 4x = 5 + 0 -14 + 4x = 5 Add '14' to each side of the equation. -14 + 14 + 4x = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 5 + 14 4x = 5 + 14 Combine like terms: 5 + 14 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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