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Simplifying 4(2x + -9) = 11x + -6 Reorder the terms: 4(-9 + 2x) = 11x + -6 (-9 * 4 + 2x * 4) = 11x + -6 (-36 + 8x) = 11x + -6 Reorder the terms: -36 + 8x = -6 + 11x Solving -36 + 8x = -6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -36 + 8x + -11x = -6 + 11x + -11x Combine like terms: 8x + -11x = -3x -36 + -3x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 -36 + -3x = -6 + 0 -36 + -3x = -6 Add '36' to each side of the equation. -36 + 36 + -3x = -6 + 36 Combine like terms: -36 + 36 = 0 0 + -3x = -6 + 36 -3x = -6 + 36 Combine like terms: -6 + 36 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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