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Simplifying 3(3x + -4) = -11 + -2(2x + 3) Reorder the terms: 3(-4 + 3x) = -11 + -2(2x + 3) (-4 * 3 + 3x * 3) = -11 + -2(2x + 3) (-12 + 9x) = -11 + -2(2x + 3) Reorder the terms: -12 + 9x = -11 + -2(3 + 2x) -12 + 9x = -11 + (3 * -2 + 2x * -2) -12 + 9x = -11 + (-6 + -4x) Combine like terms: -11 + -6 = -17 -12 + 9x = -17 + -4x Solving -12 + 9x = -17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 9x + 4x = -17 + -4x + 4x Combine like terms: 9x + 4x = 13x -12 + 13x = -17 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 13x = -17 + 0 -12 + 13x = -17 Add '12' to each side of the equation. -12 + 12 + 13x = -17 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = -17 + 12 13x = -17 + 12 Combine like terms: -17 + 12 = -5 13x = -5 Divide each side by '13'. x = -0.3846153846 Simplifying x = -0.3846153846
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