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Simplifying 4 + -2(x + 5) + 7 = -11 Reorder the terms: 4 + -2(5 + x) + 7 = -11 4 + (5 * -2 + x * -2) + 7 = -11 4 + (-10 + -2x) + 7 = -11 Reorder the terms: 4 + -10 + 7 + -2x = -11 Combine like terms: 4 + -10 = -6 -6 + 7 + -2x = -11 Combine like terms: -6 + 7 = 1 1 + -2x = -11 Solving 1 + -2x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -11 + -1 -2x = -11 + -1 Combine like terms: -11 + -1 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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