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Simplifying -7(x + 2) + 3x + 7 = 5x + 12 Reorder the terms: -7(2 + x) + 3x + 7 = 5x + 12 (2 * -7 + x * -7) + 3x + 7 = 5x + 12 (-14 + -7x) + 3x + 7 = 5x + 12 Reorder the terms: -14 + 7 + -7x + 3x = 5x + 12 Combine like terms: -14 + 7 = -7 -7 + -7x + 3x = 5x + 12 Combine like terms: -7x + 3x = -4x -7 + -4x = 5x + 12 Reorder the terms: -7 + -4x = 12 + 5x Solving -7 + -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. -7 + -4x + -5x = 12 + 5x + -5x Combine like terms: -4x + -5x = -9x -7 + -9x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -9x = 12 + 0 -7 + -9x = 12 Add '7' to each side of the equation. -7 + 7 + -9x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 12 + 7 -9x = 12 + 7 Combine like terms: 12 + 7 = 19 -9x = 19 Divide each side by '-9'. x = -2.111111111 Simplifying x = -2.111111111
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