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Simplifying -2(7 + x) = 3(1 + -2x) (7 * -2 + x * -2) = 3(1 + -2x) (-14 + -2x) = 3(1 + -2x) -14 + -2x = (1 * 3 + -2x * 3) -14 + -2x = (3 + -6x) Solving -14 + -2x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -14 + -2x + 6x = 3 + -6x + 6x Combine like terms: -2x + 6x = 4x -14 + 4x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 4x = 3 + 0 -14 + 4x = 3 Add '14' to each side of the equation. -14 + 14 + 4x = 3 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 3 + 14 4x = 3 + 14 Combine like terms: 3 + 14 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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