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Simplifying 5x + 7(x + -11) = 5(x + -14) Reorder the terms: 5x + 7(-11 + x) = 5(x + -14) 5x + (-11 * 7 + x * 7) = 5(x + -14) 5x + (-77 + 7x) = 5(x + -14) Reorder the terms: -77 + 5x + 7x = 5(x + -14) Combine like terms: 5x + 7x = 12x -77 + 12x = 5(x + -14) Reorder the terms: -77 + 12x = 5(-14 + x) -77 + 12x = (-14 * 5 + x * 5) -77 + 12x = (-70 + 5x) Solving -77 + 12x = -70 + 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. -77 + 12x + -5x = -70 + 5x + -5x Combine like terms: 12x + -5x = 7x -77 + 7x = -70 + 5x + -5x Combine like terms: 5x + -5x = 0 -77 + 7x = -70 + 0 -77 + 7x = -70 Add '77' to each side of the equation. -77 + 77 + 7x = -70 + 77 Combine like terms: -77 + 77 = 0 0 + 7x = -70 + 77 7x = -70 + 77 Combine like terms: -70 + 77 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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