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Simplifying -11x + 2 + 5 = -7(11x + -1) + 11(x + -10) Reorder the terms: 2 + 5 + -11x = -7(11x + -1) + 11(x + -10) Combine like terms: 2 + 5 = 7 7 + -11x = -7(11x + -1) + 11(x + -10) Reorder the terms: 7 + -11x = -7(-1 + 11x) + 11(x + -10) 7 + -11x = (-1 * -7 + 11x * -7) + 11(x + -10) 7 + -11x = (7 + -77x) + 11(x + -10) Reorder the terms: 7 + -11x = 7 + -77x + 11(-10 + x) 7 + -11x = 7 + -77x + (-10 * 11 + x * 11) 7 + -11x = 7 + -77x + (-110 + 11x) Reorder the terms: 7 + -11x = 7 + -110 + -77x + 11x Combine like terms: 7 + -110 = -103 7 + -11x = -103 + -77x + 11x Combine like terms: -77x + 11x = -66x 7 + -11x = -103 + -66x Solving 7 + -11x = -103 + -66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66x' to each side of the equation. 7 + -11x + 66x = -103 + -66x + 66x Combine like terms: -11x + 66x = 55x 7 + 55x = -103 + -66x + 66x Combine like terms: -66x + 66x = 0 7 + 55x = -103 + 0 7 + 55x = -103 Add '-7' to each side of the equation. 7 + -7 + 55x = -103 + -7 Combine like terms: 7 + -7 = 0 0 + 55x = -103 + -7 55x = -103 + -7 Combine like terms: -103 + -7 = -110 55x = -110 Divide each side by '55'. x = -2 Simplifying x = -2
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