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Simplifying -1(7x + -3) + -1(4x + -5) + 11 = -3(x + -1) + -1(11X + 2) + 3 Reorder the terms: -1(-3 + 7x) + -1(4x + -5) + 11 = -3(x + -1) + -1(11X + 2) + 3 (-3 * -1 + 7x * -1) + -1(4x + -5) + 11 = -3(x + -1) + -1(11X + 2) + 3 (3 + -7x) + -1(4x + -5) + 11 = -3(x + -1) + -1(11X + 2) + 3 Reorder the terms: 3 + -7x + -1(-5 + 4x) + 11 = -3(x + -1) + -1(11X + 2) + 3 3 + -7x + (-5 * -1 + 4x * -1) + 11 = -3(x + -1) + -1(11X + 2) + 3 3 + -7x + (5 + -4x) + 11 = -3(x + -1) + -1(11X + 2) + 3 Reorder the terms: 3 + 5 + 11 + -7x + -4x = -3(x + -1) + -1(11X + 2) + 3 Combine like terms: 3 + 5 = 8 8 + 11 + -7x + -4x = -3(x + -1) + -1(11X + 2) + 3 Combine like terms: 8 + 11 = 19 19 + -7x + -4x = -3(x + -1) + -1(11X + 2) + 3 Combine like terms: -7x + -4x = -11x 19 + -11x = -3(x + -1) + -1(11X + 2) + 3 Reorder the terms: 19 + -11x = -3(-1 + x) + -1(11X + 2) + 3 19 + -11x = (-1 * -3 + x * -3) + -1(11X + 2) + 3 19 + -11x = (3 + -3x) + -1(11X + 2) + 3 Reorder the terms: 19 + -11x = 3 + -3x + -1(2 + 11X) + 3 19 + -11x = 3 + -3x + (2 * -1 + 11X * -1) + 3 19 + -11x = 3 + -3x + (-2 + -11X) + 3 Reorder the terms: 19 + -11x = 3 + -2 + 3 + -11X + -3x Combine like terms: 3 + -2 = 1 19 + -11x = 1 + 3 + -11X + -3x Combine like terms: 1 + 3 = 4 19 + -11x = 4 + -11X + -3x Solving 19 + -11x = 4 + -11X + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 19 + -11x + 3x = 4 + -11X + -3x + 3x Combine like terms: -11x + 3x = -8x 19 + -8x = 4 + -11X + -3x + 3x Combine like terms: -3x + 3x = 0 19 + -8x = 4 + -11X + 0 19 + -8x = 4 + -11X Add '-19' to each side of the equation. 19 + -19 + -8x = 4 + -19 + -11X Combine like terms: 19 + -19 = 0 0 + -8x = 4 + -19 + -11X -8x = 4 + -19 + -11X Combine like terms: 4 + -19 = -15 -8x = -15 + -11X Divide each side by '-8'. x = 1.875 + 1.375X Simplifying x = 1.875 + 1.375X
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