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Simplifying -2(-3x + 1) = 2(x + 7) Reorder the terms: -2(1 + -3x) = 2(x + 7) (1 * -2 + -3x * -2) = 2(x + 7) (-2 + 6x) = 2(x + 7) Reorder the terms: -2 + 6x = 2(7 + x) -2 + 6x = (7 * 2 + x * 2) -2 + 6x = (14 + 2x) Solving -2 + 6x = 14 + 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 + 6x + -2x = 14 + 2x + -2x Combine like terms: 6x + -2x = 4x -2 + 4x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 4x = 14 + 0 -2 + 4x = 14 Add '2' to each side of the equation. -2 + 2 + 4x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 14 + 2 4x = 14 + 2 Combine like terms: 14 + 2 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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