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Simplifying -8 + 3x = 7(2x + 5) + 11 Reorder the terms: -8 + 3x = 7(5 + 2x) + 11 -8 + 3x = (5 * 7 + 2x * 7) + 11 -8 + 3x = (35 + 14x) + 11 Reorder the terms: -8 + 3x = 35 + 11 + 14x Combine like terms: 35 + 11 = 46 -8 + 3x = 46 + 14x Solving -8 + 3x = 46 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -8 + 3x + -14x = 46 + 14x + -14x Combine like terms: 3x + -14x = -11x -8 + -11x = 46 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -11x = 46 + 0 -8 + -11x = 46 Add '8' to each side of the equation. -8 + 8 + -11x = 46 + 8 Combine like terms: -8 + 8 = 0 0 + -11x = 46 + 8 -11x = 46 + 8 Combine like terms: 46 + 8 = 54 -11x = 54 Divide each side by '-11'. x = -4.909090909 Simplifying x = -4.909090909
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