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Simplifying 4x + 7(x + -11) = 4(x + -14) Reorder the terms: 4x + 7(-11 + x) = 4(x + -14) 4x + (-11 * 7 + x * 7) = 4(x + -14) 4x + (-77 + 7x) = 4(x + -14) Reorder the terms: -77 + 4x + 7x = 4(x + -14) Combine like terms: 4x + 7x = 11x -77 + 11x = 4(x + -14) Reorder the terms: -77 + 11x = 4(-14 + x) -77 + 11x = (-14 * 4 + x * 4) -77 + 11x = (-56 + 4x) Solving -77 + 11x = -56 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -77 + 11x + -4x = -56 + 4x + -4x Combine like terms: 11x + -4x = 7x -77 + 7x = -56 + 4x + -4x Combine like terms: 4x + -4x = 0 -77 + 7x = -56 + 0 -77 + 7x = -56 Add '77' to each side of the equation. -77 + 77 + 7x = -56 + 77 Combine like terms: -77 + 77 = 0 0 + 7x = -56 + 77 7x = -56 + 77 Combine like terms: -56 + 77 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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