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Simplifying 2(2x + -7) = 1 + -1(3 + 2x) Reorder the terms: 2(-7 + 2x) = 1 + -1(3 + 2x) (-7 * 2 + 2x * 2) = 1 + -1(3 + 2x) (-14 + 4x) = 1 + -1(3 + 2x) -14 + 4x = 1 + (3 * -1 + 2x * -1) -14 + 4x = 1 + (-3 + -2x) Combine like terms: 1 + -3 = -2 -14 + 4x = -2 + -2x Solving -14 + 4x = -2 + -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. -14 + 4x + 2x = -2 + -2x + 2x Combine like terms: 4x + 2x = 6x -14 + 6x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 6x = -2 + 0 -14 + 6x = -2 Add '14' to each side of the equation. -14 + 14 + 6x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = -2 + 14 6x = -2 + 14 Combine like terms: -2 + 14 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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