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Simplifying 7(2x + -2) + -3 = 3x + -5 Reorder the terms: 7(-2 + 2x) + -3 = 3x + -5 (-2 * 7 + 2x * 7) + -3 = 3x + -5 (-14 + 14x) + -3 = 3x + -5 Reorder the terms: -14 + -3 + 14x = 3x + -5 Combine like terms: -14 + -3 = -17 -17 + 14x = 3x + -5 Reorder the terms: -17 + 14x = -5 + 3x Solving -17 + 14x = -5 + 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. -17 + 14x + -3x = -5 + 3x + -3x Combine like terms: 14x + -3x = 11x -17 + 11x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 11x = -5 + 0 -17 + 11x = -5 Add '17' to each side of the equation. -17 + 17 + 11x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = -5 + 17 11x = -5 + 17 Combine like terms: -5 + 17 = 12 11x = 12 Divide each side by '11'. x = 1.090909091 Simplifying x = 1.090909091
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