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Simplifying -11x + -4(x + 11) = 3(10 + -13x) + -2 Reorder the terms: -11x + -4(11 + x) = 3(10 + -13x) + -2 -11x + (11 * -4 + x * -4) = 3(10 + -13x) + -2 -11x + (-44 + -4x) = 3(10 + -13x) + -2 Reorder the terms: -44 + -11x + -4x = 3(10 + -13x) + -2 Combine like terms: -11x + -4x = -15x -44 + -15x = 3(10 + -13x) + -2 -44 + -15x = (10 * 3 + -13x * 3) + -2 -44 + -15x = (30 + -39x) + -2 Reorder the terms: -44 + -15x = 30 + -2 + -39x Combine like terms: 30 + -2 = 28 -44 + -15x = 28 + -39x Solving -44 + -15x = 28 + -39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39x' to each side of the equation. -44 + -15x + 39x = 28 + -39x + 39x Combine like terms: -15x + 39x = 24x -44 + 24x = 28 + -39x + 39x Combine like terms: -39x + 39x = 0 -44 + 24x = 28 + 0 -44 + 24x = 28 Add '44' to each side of the equation. -44 + 44 + 24x = 28 + 44 Combine like terms: -44 + 44 = 0 0 + 24x = 28 + 44 24x = 28 + 44 Combine like terms: 28 + 44 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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