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Simplifying 7x + 2(x + -6) = 3(x + 4) Reorder the terms: 7x + 2(-6 + x) = 3(x + 4) 7x + (-6 * 2 + x * 2) = 3(x + 4) 7x + (-12 + 2x) = 3(x + 4) Reorder the terms: -12 + 7x + 2x = 3(x + 4) Combine like terms: 7x + 2x = 9x -12 + 9x = 3(x + 4) Reorder the terms: -12 + 9x = 3(4 + x) -12 + 9x = (4 * 3 + x * 3) -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 = 6x -12 + 6x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 6x = 12 + 0 -12 + 6x = 12 Add '12' to each side of the equation. -12 + 12 + 6x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 12 + 12 6x = 12 + 12 Combine like terms: 12 + 12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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