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Simplifying 3x + -1(7x + 2) = 2(x + 5) Reorder the terms: 3x + -1(2 + 7x) = 2(x + 5) 3x + (2 * -1 + 7x * -1) = 2(x + 5) 3x + (-2 + -7x) = 2(x + 5) Reorder the terms: -2 + 3x + -7x = 2(x + 5) Combine like terms: 3x + -7x = -4x -2 + -4x = 2(x + 5) Reorder the terms: -2 + -4x = 2(5 + x) -2 + -4x = (5 * 2 + x * 2) -2 + -4x = (10 + 2x) Solving -2 + -4x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -4x + -2x = 10 + 2x + -2x Combine like terms: -4x + -2x = -6x -2 + -6x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -6x = 10 + 0 -2 + -6x = 10 Add '2' to each side of the equation. -2 + 2 + -6x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 10 + 2 -6x = 10 + 2 Combine like terms: 10 + 2 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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