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Simplifying 2x + -6 + 7x = 5[x + 12] Reorder the terms: -6 + 2x + 7x = 5[x + 12] Combine like terms: 2x + 7x = 9x -6 + 9x = 5[x + 12] Reorder the terms: -6 + 9x = 5[12 + x] -6 + 9x = [12 * 5 + x * 5] -6 + 9x = [60 + 5x] Solving -6 + 9x = 60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 9x + -5x = 60 + 5x + -5x Combine like terms: 9x + -5x = 4x -6 + 4x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 4x = 60 + 0 -6 + 4x = 60 Add '6' to each side of the equation. -6 + 6 + 4x = 60 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 60 + 6 4x = 60 + 6 Combine like terms: 60 + 6 = 66 4x = 66 Divide each side by '4'. x = 16.5 Simplifying x = 16.5
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