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Simplifying -1(2x + -3) + -1(4x + -5) + 5 = 7(x + -1) + -1(2x + 6) + 3 Reorder the terms: -1(-3 + 2x) + -1(4x + -5) + 5 = 7(x + -1) + -1(2x + 6) + 3 (-3 * -1 + 2x * -1) + -1(4x + -5) + 5 = 7(x + -1) + -1(2x + 6) + 3 (3 + -2x) + -1(4x + -5) + 5 = 7(x + -1) + -1(2x + 6) + 3 Reorder the terms: 3 + -2x + -1(-5 + 4x) + 5 = 7(x + -1) + -1(2x + 6) + 3 3 + -2x + (-5 * -1 + 4x * -1) + 5 = 7(x + -1) + -1(2x + 6) + 3 3 + -2x + (5 + -4x) + 5 = 7(x + -1) + -1(2x + 6) + 3 Reorder the terms: 3 + 5 + 5 + -2x + -4x = 7(x + -1) + -1(2x + 6) + 3 Combine like terms: 3 + 5 = 8 8 + 5 + -2x + -4x = 7(x + -1) + -1(2x + 6) + 3 Combine like terms: 8 + 5 = 13 13 + -2x + -4x = 7(x + -1) + -1(2x + 6) + 3 Combine like terms: -2x + -4x = -6x 13 + -6x = 7(x + -1) + -1(2x + 6) + 3 Reorder the terms: 13 + -6x = 7(-1 + x) + -1(2x + 6) + 3 13 + -6x = (-1 * 7 + x * 7) + -1(2x + 6) + 3 13 + -6x = (-7 + 7x) + -1(2x + 6) + 3 Reorder the terms: 13 + -6x = -7 + 7x + -1(6 + 2x) + 3 13 + -6x = -7 + 7x + (6 * -1 + 2x * -1) + 3 13 + -6x = -7 + 7x + (-6 + -2x) + 3 Reorder the terms: 13 + -6x = -7 + -6 + 3 + 7x + -2x Combine like terms: -7 + -6 = -13 13 + -6x = -13 + 3 + 7x + -2x Combine like terms: -13 + 3 = -10 13 + -6x = -10 + 7x + -2x Combine like terms: 7x + -2x = 5x 13 + -6x = -10 + 5x Solving 13 + -6x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + -6x + -5x = -10 + 5x + -5x Combine like terms: -6x + -5x = -11x 13 + -11x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -11x = -10 + 0 13 + -11x = -10 Add '-13' to each side of the equation. 13 + -13 + -11x = -10 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = -10 + -13 -11x = -10 + -13 Combine like terms: -10 + -13 = -23 -11x = -23 Divide each side by '-11'. x = 2.090909091 Simplifying x = 2.090909091
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