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Simplifying 6(x + 2) = 9(x + -3) Reorder the terms: 6(2 + x) = 9(x + -3) (2 * 6 + x * 6) = 9(x + -3) (12 + 6x) = 9(x + -3) Reorder the terms: 12 + 6x = 9(-3 + x) 12 + 6x = (-3 * 9 + x * 9) 12 + 6x = (-27 + 9x) Solving 12 + 6x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 6x + -9x = -27 + 9x + -9x Combine like terms: 6x + -9x = -3x 12 + -3x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -3x = -27 + 0 12 + -3x = -27 Add '-12' to each side of the equation. 12 + -12 + -3x = -27 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -27 + -12 -3x = -27 + -12 Combine like terms: -27 + -12 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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