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Simplifying 9 + 2(x + -6) = 6 + -2(x + -3) Reorder the terms: 9 + 2(-6 + x) = 6 + -2(x + -3) 9 + (-6 * 2 + x * 2) = 6 + -2(x + -3) 9 + (-12 + 2x) = 6 + -2(x + -3) Combine like terms: 9 + -12 = -3 -3 + 2x = 6 + -2(x + -3) Reorder the terms: -3 + 2x = 6 + -2(-3 + x) -3 + 2x = 6 + (-3 * -2 + x * -2) -3 + 2x = 6 + (6 + -2x) Combine like terms: 6 + 6 = 12 -3 + 2x = 12 + -2x Solving -3 + 2x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 2x + 2x = 12 + -2x + 2x Combine like terms: 2x + 2x = 4x -3 + 4x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 4x = 12 + 0 -3 + 4x = 12 Add '3' to each side of the equation. -3 + 3 + 4x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 12 + 3 4x = 12 + 3 Combine like terms: 12 + 3 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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