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Simplifying 7 + 2(x + -6) = 9 + -3(x + -6) Reorder the terms: 7 + 2(-6 + x) = 9 + -3(x + -6) 7 + (-6 * 2 + x * 2) = 9 + -3(x + -6) 7 + (-12 + 2x) = 9 + -3(x + -6) Combine like terms: 7 + -12 = -5 -5 + 2x = 9 + -3(x + -6) Reorder the terms: -5 + 2x = 9 + -3(-6 + x) -5 + 2x = 9 + (-6 * -3 + x * -3) -5 + 2x = 9 + (18 + -3x) Combine like terms: 9 + 18 = 27 -5 + 2x = 27 + -3x Solving -5 + 2x = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + 2x + 3x = 27 + -3x + 3x Combine like terms: 2x + 3x = 5x -5 + 5x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 5x = 27 + 0 -5 + 5x = 27 Add '5' to each side of the equation. -5 + 5 + 5x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 27 + 5 5x = 27 + 5 Combine like terms: 27 + 5 = 32 5x = 32 Divide each side by '5'. x = 6.4 Simplifying x = 6.4
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