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Simplifying 8x + -6 = 12 + 2[x + 3] Reorder the terms: -6 + 8x = 12 + 2[x + 3] Reorder the terms: -6 + 8x = 12 + 2[3 + x] -6 + 8x = 12 + [3 * 2 + x * 2] -6 + 8x = 12 + [6 + 2x] Combine like terms: 12 + 6 = 18 -6 + 8x = 18 + 2x Solving -6 + 8x = 18 + 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. -6 + 8x + -2x = 18 + 2x + -2x Combine like terms: 8x + -2x = 6x -6 + 6x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 6x = 18 + 0 -6 + 6x = 18 Add '6' to each side of the equation. -6 + 6 + 6x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 18 + 6 6x = 18 + 6 Combine like terms: 18 + 6 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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