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Simplifying 7x + -11 = 5 + -4(x + -7) Reorder the terms: -11 + 7x = 5 + -4(x + -7) Reorder the terms: -11 + 7x = 5 + -4(-7 + x) -11 + 7x = 5 + (-7 * -4 + x * -4) -11 + 7x = 5 + (28 + -4x) Combine like terms: 5 + 28 = 33 -11 + 7x = 33 + -4x Solving -11 + 7x = 33 + -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. -11 + 7x + 4x = 33 + -4x + 4x Combine like terms: 7x + 4x = 11x -11 + 11x = 33 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 11x = 33 + 0 -11 + 11x = 33 Add '11' to each side of the equation. -11 + 11 + 11x = 33 + 11 Combine like terms: -11 + 11 = 0 0 + 11x = 33 + 11 11x = 33 + 11 Combine like terms: 33 + 11 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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