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Simplifying 5x + 11 = 7(x + -11) Reorder the terms: 11 + 5x = 7(x + -11) Reorder the terms: 11 + 5x = 7(-11 + x) 11 + 5x = (-11 * 7 + x * 7) 11 + 5x = (-77 + 7x) Solving 11 + 5x = -77 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 5x + -7x = -77 + 7x + -7x Combine like terms: 5x + -7x = -2x 11 + -2x = -77 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -2x = -77 + 0 11 + -2x = -77 Add '-11' to each side of the equation. 11 + -11 + -2x = -77 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = -77 + -11 -2x = -77 + -11 Combine like terms: -77 + -11 = -88 -2x = -88 Divide each side by '-2'. x = 44 Simplifying x = 44
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