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Simplifying 2(2x + -7) = 5x + -12 Reorder the terms: 2(-7 + 2x) = 5x + -12 (-7 * 2 + 2x * 2) = 5x + -12 (-14 + 4x) = 5x + -12 Reorder the terms: -14 + 4x = -12 + 5x Solving -14 + 4x = -12 + 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. -14 + 4x + -5x = -12 + 5x + -5x Combine like terms: 4x + -5x = -1x -14 + -1x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -1x = -12 + 0 -14 + -1x = -12 Add '14' to each side of the equation. -14 + 14 + -1x = -12 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -12 + 14 -1x = -12 + 14 Combine like terms: -12 + 14 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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