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Simplifying 6(3x + 2) + -5(6 + -1) = 3(x + -8) + -5(7x + -6) + 9x Reorder the terms: 6(2 + 3x) + -5(6 + -1) = 3(x + -8) + -5(7x + -6) + 9x (2 * 6 + 3x * 6) + -5(6 + -1) = 3(x + -8) + -5(7x + -6) + 9x (12 + 18x) + -5(6 + -1) = 3(x + -8) + -5(7x + -6) + 9x Combine like terms: 6 + -1 = 5 12 + 18x + -5(5) = 3(x + -8) + -5(7x + -6) + 9x Multiply -5 * 5 12 + 18x + -25 = 3(x + -8) + -5(7x + -6) + 9x Reorder the terms: 12 + -25 + 18x = 3(x + -8) + -5(7x + -6) + 9x Combine like terms: 12 + -25 = -13 -13 + 18x = 3(x + -8) + -5(7x + -6) + 9x Reorder the terms: -13 + 18x = 3(-8 + x) + -5(7x + -6) + 9x -13 + 18x = (-8 * 3 + x * 3) + -5(7x + -6) + 9x -13 + 18x = (-24 + 3x) + -5(7x + -6) + 9x Reorder the terms: -13 + 18x = -24 + 3x + -5(-6 + 7x) + 9x -13 + 18x = -24 + 3x + (-6 * -5 + 7x * -5) + 9x -13 + 18x = -24 + 3x + (30 + -35x) + 9x Reorder the terms: -13 + 18x = -24 + 30 + 3x + -35x + 9x Combine like terms: -24 + 30 = 6 -13 + 18x = 6 + 3x + -35x + 9x Combine like terms: 3x + -35x = -32x -13 + 18x = 6 + -32x + 9x Combine like terms: -32x + 9x = -23x -13 + 18x = 6 + -23x Solving -13 + 18x = 6 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -13 + 18x + 23x = 6 + -23x + 23x Combine like terms: 18x + 23x = 41x -13 + 41x = 6 + -23x + 23x Combine like terms: -23x + 23x = 0 -13 + 41x = 6 + 0 -13 + 41x = 6 Add '13' to each side of the equation. -13 + 13 + 41x = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 41x = 6 + 13 41x = 6 + 13 Combine like terms: 6 + 13 = 19 41x = 19 Divide each side by '41'. x = 0.4634146341 Simplifying x = 0.4634146341
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