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Simplifying 3(3x + -4) = 11(2x + 1) Reorder the terms: 3(-4 + 3x) = 11(2x + 1) (-4 * 3 + 3x * 3) = 11(2x + 1) (-12 + 9x) = 11(2x + 1) Reorder the terms: -12 + 9x = 11(1 + 2x) -12 + 9x = (1 * 11 + 2x * 11) -12 + 9x = (11 + 22x) Solving -12 + 9x = 11 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -12 + 9x + -22x = 11 + 22x + -22x Combine like terms: 9x + -22x = -13x -12 + -13x = 11 + 22x + -22x Combine like terms: 22x + -22x = 0 -12 + -13x = 11 + 0 -12 + -13x = 11 Add '12' to each side of the equation. -12 + 12 + -13x = 11 + 12 Combine like terms: -12 + 12 = 0 0 + -13x = 11 + 12 -13x = 11 + 12 Combine like terms: 11 + 12 = 23 -13x = 23 Divide each side by '-13'. x = -1.769230769 Simplifying x = -1.769230769
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