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Simplifying 3(2x + -9) + -5 = 3(x + -5) + -11 Reorder the terms: 3(-9 + 2x) + -5 = 3(x + -5) + -11 (-9 * 3 + 2x * 3) + -5 = 3(x + -5) + -11 (-27 + 6x) + -5 = 3(x + -5) + -11 Reorder the terms: -27 + -5 + 6x = 3(x + -5) + -11 Combine like terms: -27 + -5 = -32 -32 + 6x = 3(x + -5) + -11 Reorder the terms: -32 + 6x = 3(-5 + x) + -11 -32 + 6x = (-5 * 3 + x * 3) + -11 -32 + 6x = (-15 + 3x) + -11 Reorder the terms: -32 + 6x = -15 + -11 + 3x Combine like terms: -15 + -11 = -26 -32 + 6x = -26 + 3x Solving -32 + 6x = -26 + 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. -32 + 6x + -3x = -26 + 3x + -3x Combine like terms: 6x + -3x = 3x -32 + 3x = -26 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 3x = -26 + 0 -32 + 3x = -26 Add '32' to each side of the equation. -32 + 32 + 3x = -26 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = -26 + 32 3x = -26 + 32 Combine like terms: -26 + 32 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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