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Simplifying 2(4x + -7) = 3(8 + x) Reorder the terms: 2(-7 + 4x) = 3(8 + x) (-7 * 2 + 4x * 2) = 3(8 + x) (-14 + 8x) = 3(8 + x) -14 + 8x = (8 * 3 + x * 3) -14 + 8x = (24 + 3x) Solving -14 + 8x = 24 + 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 = 24 + 3x + -3x Combine like terms: 8x + -3x = 5x -14 + 5x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 5x = 24 + 0 -14 + 5x = 24 Add '14' to each side of the equation. -14 + 14 + 5x = 24 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 24 + 14 5x = 24 + 14 Combine like terms: 24 + 14 = 38 5x = 38 Divide each side by '5'. x = 7.6 Simplifying x = 7.6
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