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Simplifying (-3x + -2) + -1(2x + -7) + 9 = -6(x + -6) + -1(9x + 3) + 7 Reorder the terms: (-2 + -3x) + -1(2x + -7) + 9 = -6(x + -6) + -1(9x + 3) + 7 Remove parenthesis around (-2 + -3x) -2 + -3x + -1(2x + -7) + 9 = -6(x + -6) + -1(9x + 3) + 7 Reorder the terms: -2 + -3x + -1(-7 + 2x) + 9 = -6(x + -6) + -1(9x + 3) + 7 -2 + -3x + (-7 * -1 + 2x * -1) + 9 = -6(x + -6) + -1(9x + 3) + 7 -2 + -3x + (7 + -2x) + 9 = -6(x + -6) + -1(9x + 3) + 7 Reorder the terms: -2 + 7 + 9 + -3x + -2x = -6(x + -6) + -1(9x + 3) + 7 Combine like terms: -2 + 7 = 5 5 + 9 + -3x + -2x = -6(x + -6) + -1(9x + 3) + 7 Combine like terms: 5 + 9 = 14 14 + -3x + -2x = -6(x + -6) + -1(9x + 3) + 7 Combine like terms: -3x + -2x = -5x 14 + -5x = -6(x + -6) + -1(9x + 3) + 7 Reorder the terms: 14 + -5x = -6(-6 + x) + -1(9x + 3) + 7 14 + -5x = (-6 * -6 + x * -6) + -1(9x + 3) + 7 14 + -5x = (36 + -6x) + -1(9x + 3) + 7 Reorder the terms: 14 + -5x = 36 + -6x + -1(3 + 9x) + 7 14 + -5x = 36 + -6x + (3 * -1 + 9x * -1) + 7 14 + -5x = 36 + -6x + (-3 + -9x) + 7 Reorder the terms: 14 + -5x = 36 + -3 + 7 + -6x + -9x Combine like terms: 36 + -3 = 33 14 + -5x = 33 + 7 + -6x + -9x Combine like terms: 33 + 7 = 40 14 + -5x = 40 + -6x + -9x Combine like terms: -6x + -9x = -15x 14 + -5x = 40 + -15x Solving 14 + -5x = 40 + -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. 14 + -5x + 15x = 40 + -15x + 15x Combine like terms: -5x + 15x = 10x 14 + 10x = 40 + -15x + 15x Combine like terms: -15x + 15x = 0 14 + 10x = 40 + 0 14 + 10x = 40 Add '-14' to each side of the equation. 14 + -14 + 10x = 40 + -14 Combine like terms: 14 + -14 = 0 0 + 10x = 40 + -14 10x = 40 + -14 Combine like terms: 40 + -14 = 26 10x = 26 Divide each side by '10'. x = 2.6 Simplifying x = 2.6
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