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Simplifying 12x + -7 = 2(4x + 7) Reorder the terms: -7 + 12x = 2(4x + 7) Reorder the terms: -7 + 12x = 2(7 + 4x) -7 + 12x = (7 * 2 + 4x * 2) -7 + 12x = (14 + 8x) Solving -7 + 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. -7 + 12x + -8x = 14 + 8x + -8x Combine like terms: 12x + -8x = 4x -7 + 4x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 4x = 14 + 0 -7 + 4x = 14 Add '7' to each side of the equation. -7 + 7 + 4x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 14 + 7 4x = 14 + 7 Combine like terms: 14 + 7 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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