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Simplifying 7(2x + -2) + -5x = 3x + 6 Reorder the terms: 7(-2 + 2x) + -5x = 3x + 6 (-2 * 7 + 2x * 7) + -5x = 3x + 6 (-14 + 14x) + -5x = 3x + 6 Combine like terms: 14x + -5x = 9x -14 + 9x = 3x + 6 Reorder the terms: -14 + 9x = 6 + 3x Solving -14 + 9x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 9x + -3x = 6 + 3x + -3x Combine like terms: 9x + -3x = 6x -14 + 6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 6x = 6 + 0 -14 + 6x = 6 Add '14' to each side of the equation. -14 + 14 + 6x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 6 + 14 6x = 6 + 14 Combine like terms: 6 + 14 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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