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Simplifying -2(x + -7) = 4(x + -2) Reorder the terms: -2(-7 + x) = 4(x + -2) (-7 * -2 + x * -2) = 4(x + -2) (14 + -2x) = 4(x + -2) Reorder the terms: 14 + -2x = 4(-2 + x) 14 + -2x = (-2 * 4 + x * 4) 14 + -2x = (-8 + 4x) Solving 14 + -2x = -8 + 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. 14 + -2x + -4x = -8 + 4x + -4x Combine like terms: -2x + -4x = -6x 14 + -6x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -6x = -8 + 0 14 + -6x = -8 Add '-14' to each side of the equation. 14 + -14 + -6x = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -8 + -14 -6x = -8 + -14 Combine like terms: -8 + -14 = -22 -6x = -22 Divide each side by '-6'. x = 3.666666667 Simplifying x = 3.666666667
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