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Simplifying 2(x + 7) = 6(x + -4) Reorder the terms: 2(7 + x) = 6(x + -4) (7 * 2 + x * 2) = 6(x + -4) (14 + 2x) = 6(x + -4) Reorder the terms: 14 + 2x = 6(-4 + x) 14 + 2x = (-4 * 6 + x * 6) 14 + 2x = (-24 + 6x) Solving 14 + 2x = -24 + 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 = -24 + 6x + -6x Combine like terms: 2x + -6x = -4x 14 + -4x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -4x = -24 + 0 14 + -4x = -24 Add '-14' to each side of the equation. 14 + -14 + -4x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -24 + -14 -4x = -24 + -14 Combine like terms: -24 + -14 = -38 -4x = -38 Divide each side by '-4'. x = 9.5 Simplifying x = 9.5
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