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Simplifying -9(2x + 3) + -6(4 + -1x) = -4(5 + 2x) + -3x + 51 Reorder the terms: -9(3 + 2x) + -6(4 + -1x) = -4(5 + 2x) + -3x + 51 (3 * -9 + 2x * -9) + -6(4 + -1x) = -4(5 + 2x) + -3x + 51 (-27 + -18x) + -6(4 + -1x) = -4(5 + 2x) + -3x + 51 -27 + -18x + (4 * -6 + -1x * -6) = -4(5 + 2x) + -3x + 51 -27 + -18x + (-24 + 6x) = -4(5 + 2x) + -3x + 51 Reorder the terms: -27 + -24 + -18x + 6x = -4(5 + 2x) + -3x + 51 Combine like terms: -27 + -24 = -51 -51 + -18x + 6x = -4(5 + 2x) + -3x + 51 Combine like terms: -18x + 6x = -12x -51 + -12x = -4(5 + 2x) + -3x + 51 -51 + -12x = (5 * -4 + 2x * -4) + -3x + 51 -51 + -12x = (-20 + -8x) + -3x + 51 Reorder the terms: -51 + -12x = -20 + 51 + -8x + -3x Combine like terms: -20 + 51 = 31 -51 + -12x = 31 + -8x + -3x Combine like terms: -8x + -3x = -11x -51 + -12x = 31 + -11x Solving -51 + -12x = 31 + -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. -51 + -12x + 11x = 31 + -11x + 11x Combine like terms: -12x + 11x = -1x -51 + -1x = 31 + -11x + 11x Combine like terms: -11x + 11x = 0 -51 + -1x = 31 + 0 -51 + -1x = 31 Add '51' to each side of the equation. -51 + 51 + -1x = 31 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = 31 + 51 -1x = 31 + 51 Combine like terms: 31 + 51 = 82 -1x = 82 Divide each side by '-1'. x = -82 Simplifying x = -82
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