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Simplifying 9(3x + -5) = 12(3x + -1) + -51 Reorder the terms: 9(-5 + 3x) = 12(3x + -1) + -51 (-5 * 9 + 3x * 9) = 12(3x + -1) + -51 (-45 + 27x) = 12(3x + -1) + -51 Reorder the terms: -45 + 27x = 12(-1 + 3x) + -51 -45 + 27x = (-1 * 12 + 3x * 12) + -51 -45 + 27x = (-12 + 36x) + -51 Reorder the terms: -45 + 27x = -12 + -51 + 36x Combine like terms: -12 + -51 = -63 -45 + 27x = -63 + 36x Solving -45 + 27x = -63 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -45 + 27x + -36x = -63 + 36x + -36x Combine like terms: 27x + -36x = -9x -45 + -9x = -63 + 36x + -36x Combine like terms: 36x + -36x = 0 -45 + -9x = -63 + 0 -45 + -9x = -63 Add '45' to each side of the equation. -45 + 45 + -9x = -63 + 45 Combine like terms: -45 + 45 = 0 0 + -9x = -63 + 45 -9x = -63 + 45 Combine like terms: -63 + 45 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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