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Simplifying 5x + -2(3x + 7) = 7x + 12 Reorder the terms: 5x + -2(7 + 3x) = 7x + 12 5x + (7 * -2 + 3x * -2) = 7x + 12 5x + (-14 + -6x) = 7x + 12 Reorder the terms: -14 + 5x + -6x = 7x + 12 Combine like terms: 5x + -6x = -1x -14 + -1x = 7x + 12 Reorder the terms: -14 + -1x = 12 + 7x Solving -14 + -1x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -14 + -1x + -7x = 12 + 7x + -7x Combine like terms: -1x + -7x = -8x -14 + -8x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -8x = 12 + 0 -14 + -8x = 12 Add '14' to each side of the equation. -14 + 14 + -8x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -8x = 12 + 14 -8x = 12 + 14 Combine like terms: 12 + 14 = 26 -8x = 26 Divide each side by '-8'. x = -3.25 Simplifying x = -3.25
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