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Simplifying 2(3x + -7) + -5 = 3x + -11 Reorder the terms: 2(-7 + 3x) + -5 = 3x + -11 (-7 * 2 + 3x * 2) + -5 = 3x + -11 (-14 + 6x) + -5 = 3x + -11 Reorder the terms: -14 + -5 + 6x = 3x + -11 Combine like terms: -14 + -5 = -19 -19 + 6x = 3x + -11 Reorder the terms: -19 + 6x = -11 + 3x Solving -19 + 6x = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -19 + 6x + -3x = -11 + 3x + -3x Combine like terms: 6x + -3x = 3x -19 + 3x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + 3x = -11 + 0 -19 + 3x = -11 Add '19' to each side of the equation. -19 + 19 + 3x = -11 + 19 Combine like terms: -19 + 19 = 0 0 + 3x = -11 + 19 3x = -11 + 19 Combine like terms: -11 + 19 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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