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Simplifying 8x + -1(7x + -1(44 + 3x)) = 15x + -11 8x + -1(7x + (44 * -1 + 3x * -1)) = 15x + -11 8x + -1(7x + (-44 + -3x)) = 15x + -11 Reorder the terms: 8x + -1(-44 + 7x + -3x) = 15x + -11 Combine like terms: 7x + -3x = 4x 8x + -1(-44 + 4x) = 15x + -11 8x + (-44 * -1 + 4x * -1) = 15x + -11 8x + (44 + -4x) = 15x + -11 Reorder the terms: 44 + 8x + -4x = 15x + -11 Combine like terms: 8x + -4x = 4x 44 + 4x = 15x + -11 Reorder the terms: 44 + 4x = -11 + 15x Solving 44 + 4x = -11 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 44 + 4x + -15x = -11 + 15x + -15x Combine like terms: 4x + -15x = -11x 44 + -11x = -11 + 15x + -15x Combine like terms: 15x + -15x = 0 44 + -11x = -11 + 0 44 + -11x = -11 Add '-44' to each side of the equation. 44 + -44 + -11x = -11 + -44 Combine like terms: 44 + -44 = 0 0 + -11x = -11 + -44 -11x = -11 + -44 Combine like terms: -11 + -44 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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