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Simplifying 7(x + 2) = 3(x + -4) Reorder the terms: 7(2 + x) = 3(x + -4) (2 * 7 + x * 7) = 3(x + -4) (14 + 7x) = 3(x + -4) Reorder the terms: 14 + 7x = 3(-4 + x) 14 + 7x = (-4 * 3 + x * 3) 14 + 7x = (-12 + 3x) Solving 14 + 7x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 7x + -3x = -12 + 3x + -3x Combine like terms: 7x + -3x = 4x 14 + 4x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 4x = -12 + 0 14 + 4x = -12 Add '-14' to each side of the equation. 14 + -14 + 4x = -12 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = -12 + -14 4x = -12 + -14 Combine like terms: -12 + -14 = -26 4x = -26 Divide each side by '4'. x = -6.5 Simplifying x = -6.5
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