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Simplifying 12x + -2(7 + -1x) = 4(2x + 7) 12x + (7 * -2 + -1x * -2) = 4(2x + 7) 12x + (-14 + 2x) = 4(2x + 7) Reorder the terms: -14 + 12x + 2x = 4(2x + 7) Combine like terms: 12x + 2x = 14x -14 + 14x = 4(2x + 7) Reorder the terms: -14 + 14x = 4(7 + 2x) -14 + 14x = (7 * 4 + 2x * 4) -14 + 14x = (28 + 8x) Solving -14 + 14x = 28 + 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. -14 + 14x + -8x = 28 + 8x + -8x Combine like terms: 14x + -8x = 6x -14 + 6x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + 6x = 28 + 0 -14 + 6x = 28 Add '14' to each side of the equation. -14 + 14 + 6x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 28 + 14 6x = 28 + 14 Combine like terms: 28 + 14 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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