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Simplifying -1(7x + -3) + -1(4x + -5) + 11 = -8(x + -1) + -1(6x + 7) + 3 Reorder the terms: -1(-3 + 7x) + -1(4x + -5) + 11 = -8(x + -1) + -1(6x + 7) + 3 (-3 * -1 + 7x * -1) + -1(4x + -5) + 11 = -8(x + -1) + -1(6x + 7) + 3 (3 + -7x) + -1(4x + -5) + 11 = -8(x + -1) + -1(6x + 7) + 3 Reorder the terms: 3 + -7x + -1(-5 + 4x) + 11 = -8(x + -1) + -1(6x + 7) + 3 3 + -7x + (-5 * -1 + 4x * -1) + 11 = -8(x + -1) + -1(6x + 7) + 3 3 + -7x + (5 + -4x) + 11 = -8(x + -1) + -1(6x + 7) + 3 Reorder the terms: 3 + 5 + 11 + -7x + -4x = -8(x + -1) + -1(6x + 7) + 3 Combine like terms: 3 + 5 = 8 8 + 11 + -7x + -4x = -8(x + -1) + -1(6x + 7) + 3 Combine like terms: 8 + 11 = 19 19 + -7x + -4x = -8(x + -1) + -1(6x + 7) + 3 Combine like terms: -7x + -4x = -11x 19 + -11x = -8(x + -1) + -1(6x + 7) + 3 Reorder the terms: 19 + -11x = -8(-1 + x) + -1(6x + 7) + 3 19 + -11x = (-1 * -8 + x * -8) + -1(6x + 7) + 3 19 + -11x = (8 + -8x) + -1(6x + 7) + 3 Reorder the terms: 19 + -11x = 8 + -8x + -1(7 + 6x) + 3 19 + -11x = 8 + -8x + (7 * -1 + 6x * -1) + 3 19 + -11x = 8 + -8x + (-7 + -6x) + 3 Reorder the terms: 19 + -11x = 8 + -7 + 3 + -8x + -6x Combine like terms: 8 + -7 = 1 19 + -11x = 1 + 3 + -8x + -6x Combine like terms: 1 + 3 = 4 19 + -11x = 4 + -8x + -6x Combine like terms: -8x + -6x = -14x 19 + -11x = 4 + -14x Solving 19 + -11x = 4 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 19 + -11x + 14x = 4 + -14x + 14x Combine like terms: -11x + 14x = 3x 19 + 3x = 4 + -14x + 14x Combine like terms: -14x + 14x = 0 19 + 3x = 4 + 0 19 + 3x = 4 Add '-19' to each side of the equation. 19 + -19 + 3x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 4 + -19 3x = 4 + -19 Combine like terms: 4 + -19 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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