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Simplifying -1(5x + -7) + -1(2x + -6) + 4 = -6(x + -7) + -1(3x + 2) + 4 Reorder the terms: -1(-7 + 5x) + -1(2x + -6) + 4 = -6(x + -7) + -1(3x + 2) + 4 (-7 * -1 + 5x * -1) + -1(2x + -6) + 4 = -6(x + -7) + -1(3x + 2) + 4 (7 + -5x) + -1(2x + -6) + 4 = -6(x + -7) + -1(3x + 2) + 4 Reorder the terms: 7 + -5x + -1(-6 + 2x) + 4 = -6(x + -7) + -1(3x + 2) + 4 7 + -5x + (-6 * -1 + 2x * -1) + 4 = -6(x + -7) + -1(3x + 2) + 4 7 + -5x + (6 + -2x) + 4 = -6(x + -7) + -1(3x + 2) + 4 Reorder the terms: 7 + 6 + 4 + -5x + -2x = -6(x + -7) + -1(3x + 2) + 4 Combine like terms: 7 + 6 = 13 13 + 4 + -5x + -2x = -6(x + -7) + -1(3x + 2) + 4 Combine like terms: 13 + 4 = 17 17 + -5x + -2x = -6(x + -7) + -1(3x + 2) + 4 Combine like terms: -5x + -2x = -7x 17 + -7x = -6(x + -7) + -1(3x + 2) + 4 Reorder the terms: 17 + -7x = -6(-7 + x) + -1(3x + 2) + 4 17 + -7x = (-7 * -6 + x * -6) + -1(3x + 2) + 4 17 + -7x = (42 + -6x) + -1(3x + 2) + 4 Reorder the terms: 17 + -7x = 42 + -6x + -1(2 + 3x) + 4 17 + -7x = 42 + -6x + (2 * -1 + 3x * -1) + 4 17 + -7x = 42 + -6x + (-2 + -3x) + 4 Reorder the terms: 17 + -7x = 42 + -2 + 4 + -6x + -3x Combine like terms: 42 + -2 = 40 17 + -7x = 40 + 4 + -6x + -3x Combine like terms: 40 + 4 = 44 17 + -7x = 44 + -6x + -3x Combine like terms: -6x + -3x = -9x 17 + -7x = 44 + -9x Solving 17 + -7x = 44 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 17 + -7x + 9x = 44 + -9x + 9x Combine like terms: -7x + 9x = 2x 17 + 2x = 44 + -9x + 9x Combine like terms: -9x + 9x = 0 17 + 2x = 44 + 0 17 + 2x = 44 Add '-17' to each side of the equation. 17 + -17 + 2x = 44 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 44 + -17 2x = 44 + -17 Combine like terms: 44 + -17 = 27 2x = 27 Divide each side by '2'. x = 13.5 Simplifying x = 13.5
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