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Simplifying 3x + -2(-2x + 1) = 2 + -2(2x + 13) Reorder the terms: 3x + -2(1 + -2x) = 2 + -2(2x + 13) 3x + (1 * -2 + -2x * -2) = 2 + -2(2x + 13) 3x + (-2 + 4x) = 2 + -2(2x + 13) Reorder the terms: -2 + 3x + 4x = 2 + -2(2x + 13) Combine like terms: 3x + 4x = 7x -2 + 7x = 2 + -2(2x + 13) Reorder the terms: -2 + 7x = 2 + -2(13 + 2x) -2 + 7x = 2 + (13 * -2 + 2x * -2) -2 + 7x = 2 + (-26 + -4x) Combine like terms: 2 + -26 = -24 -2 + 7x = -24 + -4x Solving -2 + 7x = -24 + -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. -2 + 7x + 4x = -24 + -4x + 4x Combine like terms: 7x + 4x = 11x -2 + 11x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 11x = -24 + 0 -2 + 11x = -24 Add '2' to each side of the equation. -2 + 2 + 11x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = -24 + 2 11x = -24 + 2 Combine like terms: -24 + 2 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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