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Simplifying 12 + 2(3x + -7) = 5x + -4 Reorder the terms: 12 + 2(-7 + 3x) = 5x + -4 12 + (-7 * 2 + 3x * 2) = 5x + -4 12 + (-14 + 6x) = 5x + -4 Combine like terms: 12 + -14 = -2 -2 + 6x = 5x + -4 Reorder the terms: -2 + 6x = -4 + 5x Solving -2 + 6x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 6x + -5x = -4 + 5x + -5x Combine like terms: 6x + -5x = 1x -2 + 1x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 1x = -4 + 0 -2 + 1x = -4 Add '2' to each side of the equation. -2 + 2 + 1x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -4 + 2 1x = -4 + 2 Combine like terms: -4 + 2 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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