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Simplifying 2(4x + 7) = 3(x + -4) Reorder the terms: 2(7 + 4x) = 3(x + -4) (7 * 2 + 4x * 2) = 3(x + -4) (14 + 8x) = 3(x + -4) Reorder the terms: 14 + 8x = 3(-4 + x) 14 + 8x = (-4 * 3 + x * 3) 14 + 8x = (-12 + 3x) Solving 14 + 8x = -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 + 8x + -3x = -12 + 3x + -3x Combine like terms: 8x + -3x = 5x 14 + 5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 5x = -12 + 0 14 + 5x = -12 Add '-14' to each side of the equation. 14 + -14 + 5x = -12 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = -12 + -14 5x = -12 + -14 Combine like terms: -12 + -14 = -26 5x = -26 Divide each side by '5'. x = -5.2 Simplifying x = -5.2
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