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Simplifying -1(8x + -3) + -1(2 + -5) + 15 = -11(x + -1) + -1(4x + 11) + 3 Reorder the terms: -1(-3 + 8x) + -1(2 + -5) + 15 = -11(x + -1) + -1(4x + 11) + 3 (-3 * -1 + 8x * -1) + -1(2 + -5) + 15 = -11(x + -1) + -1(4x + 11) + 3 (3 + -8x) + -1(2 + -5) + 15 = -11(x + -1) + -1(4x + 11) + 3 Combine like terms: 2 + -5 = -3 3 + -8x + -1(-3) + 15 = -11(x + -1) + -1(4x + 11) + 3 Multiply -1 * -3 3 + -8x + 3 + 15 = -11(x + -1) + -1(4x + 11) + 3 Reorder the terms: 3 + 3 + 15 + -8x = -11(x + -1) + -1(4x + 11) + 3 Combine like terms: 3 + 3 = 6 6 + 15 + -8x = -11(x + -1) + -1(4x + 11) + 3 Combine like terms: 6 + 15 = 21 21 + -8x = -11(x + -1) + -1(4x + 11) + 3 Reorder the terms: 21 + -8x = -11(-1 + x) + -1(4x + 11) + 3 21 + -8x = (-1 * -11 + x * -11) + -1(4x + 11) + 3 21 + -8x = (11 + -11x) + -1(4x + 11) + 3 Reorder the terms: 21 + -8x = 11 + -11x + -1(11 + 4x) + 3 21 + -8x = 11 + -11x + (11 * -1 + 4x * -1) + 3 21 + -8x = 11 + -11x + (-11 + -4x) + 3 Reorder the terms: 21 + -8x = 11 + -11 + 3 + -11x + -4x Combine like terms: 11 + -11 = 0 21 + -8x = 0 + 3 + -11x + -4x 21 + -8x = 3 + -11x + -4x Combine like terms: -11x + -4x = -15x 21 + -8x = 3 + -15x Solving 21 + -8x = 3 + -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. 21 + -8x + 15x = 3 + -15x + 15x Combine like terms: -8x + 15x = 7x 21 + 7x = 3 + -15x + 15x Combine like terms: -15x + 15x = 0 21 + 7x = 3 + 0 21 + 7x = 3 Add '-21' to each side of the equation. 21 + -21 + 7x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 3 + -21 7x = 3 + -21 Combine like terms: 3 + -21 = -18 7x = -18 Divide each side by '7'. x = -2.571428571 Simplifying x = -2.571428571
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