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Simplifying 4 + (6x + -5) + -3(x + 2) + 2(3x + -5) = 5(3x + -2) Reorder the terms: 4 + (-5 + 6x) + -3(x + 2) + 2(3x + -5) = 5(3x + -2) Remove parenthesis around (-5 + 6x) 4 + -5 + 6x + -3(x + 2) + 2(3x + -5) = 5(3x + -2) Reorder the terms: 4 + -5 + 6x + -3(2 + x) + 2(3x + -5) = 5(3x + -2) 4 + -5 + 6x + (2 * -3 + x * -3) + 2(3x + -5) = 5(3x + -2) 4 + -5 + 6x + (-6 + -3x) + 2(3x + -5) = 5(3x + -2) Reorder the terms: 4 + -5 + 6x + -6 + -3x + 2(-5 + 3x) = 5(3x + -2) 4 + -5 + 6x + -6 + -3x + (-5 * 2 + 3x * 2) = 5(3x + -2) 4 + -5 + 6x + -6 + -3x + (-10 + 6x) = 5(3x + -2) Reorder the terms: 4 + -5 + -6 + -10 + 6x + -3x + 6x = 5(3x + -2) Combine like terms: 4 + -5 = -1 -1 + -6 + -10 + 6x + -3x + 6x = 5(3x + -2) Combine like terms: -1 + -6 = -7 -7 + -10 + 6x + -3x + 6x = 5(3x + -2) Combine like terms: -7 + -10 = -17 -17 + 6x + -3x + 6x = 5(3x + -2) Combine like terms: 6x + -3x = 3x -17 + 3x + 6x = 5(3x + -2) Combine like terms: 3x + 6x = 9x -17 + 9x = 5(3x + -2) Reorder the terms: -17 + 9x = 5(-2 + 3x) -17 + 9x = (-2 * 5 + 3x * 5) -17 + 9x = (-10 + 15x) Solving -17 + 9x = -10 + 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. -17 + 9x + -15x = -10 + 15x + -15x Combine like terms: 9x + -15x = -6x -17 + -6x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -17 + -6x = -10 + 0 -17 + -6x = -10 Add '17' to each side of the equation. -17 + 17 + -6x = -10 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = -10 + 17 -6x = -10 + 17 Combine like terms: -10 + 17 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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