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Simplifying 3(4x + -7) = 8x + 14 Reorder the terms: 3(-7 + 4x) = 8x + 14 (-7 * 3 + 4x * 3) = 8x + 14 (-21 + 12x) = 8x + 14 Reorder the terms: -21 + 12x = 14 + 8x Solving -21 + 12x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + 12x + -8x = 14 + 8x + -8x Combine like terms: 12x + -8x = 4x -21 + 4x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + 4x = 14 + 0 -21 + 4x = 14 Add '21' to each side of the equation. -21 + 21 + 4x = 14 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 14 + 21 4x = 14 + 21 Combine like terms: 14 + 21 = 35 4x = 35 Divide each side by '4'. x = 8.75 Simplifying x = 8.75
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