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Simplifying 6(x + 6) + 2 = 8x + -12 Reorder the terms: 6(6 + x) + 2 = 8x + -12 (6 * 6 + x * 6) + 2 = 8x + -12 (36 + 6x) + 2 = 8x + -12 Reorder the terms: 36 + 2 + 6x = 8x + -12 Combine like terms: 36 + 2 = 38 38 + 6x = 8x + -12 Reorder the terms: 38 + 6x = -12 + 8x Solving 38 + 6x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 38 + 6x + -8x = -12 + 8x + -8x Combine like terms: 6x + -8x = -2x 38 + -2x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -2x = -12 + 0 38 + -2x = -12 Add '-38' to each side of the equation. 38 + -38 + -2x = -12 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = -12 + -38 -2x = -12 + -38 Combine like terms: -12 + -38 = -50 -2x = -50 Divide each side by '-2'. x = 25 Simplifying x = 25
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