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Simplifying 7(x + -2) + 7x = 5(x + 4) + -7 Reorder the terms: 7(-2 + x) + 7x = 5(x + 4) + -7 (-2 * 7 + x * 7) + 7x = 5(x + 4) + -7 (-14 + 7x) + 7x = 5(x + 4) + -7 Combine like terms: 7x + 7x = 14x -14 + 14x = 5(x + 4) + -7 Reorder the terms: -14 + 14x = 5(4 + x) + -7 -14 + 14x = (4 * 5 + x * 5) + -7 -14 + 14x = (20 + 5x) + -7 Reorder the terms: -14 + 14x = 20 + -7 + 5x Combine like terms: 20 + -7 = 13 -14 + 14x = 13 + 5x Solving -14 + 14x = 13 + 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 + 14x + -5x = 13 + 5x + -5x Combine like terms: 14x + -5x = 9x -14 + 9x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 9x = 13 + 0 -14 + 9x = 13 Add '14' to each side of the equation. -14 + 14 + 9x = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 13 + 14 9x = 13 + 14 Combine like terms: 13 + 14 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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