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Simplifying 2(x + -6) + 7x = 3 + -3(x + -3) Reorder the terms: 2(-6 + x) + 7x = 3 + -3(x + -3) (-6 * 2 + x * 2) + 7x = 3 + -3(x + -3) (-12 + 2x) + 7x = 3 + -3(x + -3) Combine like terms: 2x + 7x = 9x -12 + 9x = 3 + -3(x + -3) Reorder the terms: -12 + 9x = 3 + -3(-3 + x) -12 + 9x = 3 + (-3 * -3 + x * -3) -12 + 9x = 3 + (9 + -3x) Combine like terms: 3 + 9 = 12 -12 + 9x = 12 + -3x Solving -12 + 9x = 12 + -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. -12 + 9x + 3x = 12 + -3x + 3x Combine like terms: 9x + 3x = 12x -12 + 12x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 12x = 12 + 0 -12 + 12x = 12 Add '12' to each side of the equation. -12 + 12 + 12x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 12 + 12 12x = 12 + 12 Combine like terms: 12 + 12 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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