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Simplifying 6 + 8(x + 12) = 6x Reorder the terms: 6 + 8(12 + x) = 6x 6 + (12 * 8 + x * 8) = 6x 6 + (96 + 8x) = 6x Combine like terms: 6 + 96 = 102 102 + 8x = 6x Solving 102 + 8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 102 + 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x 102 + 2x = 6x + -6x Combine like terms: 6x + -6x = 0 102 + 2x = 0 Add '-102' to each side of the equation. 102 + -102 + 2x = 0 + -102 Combine like terms: 102 + -102 = 0 0 + 2x = 0 + -102 2x = 0 + -102 Combine like terms: 0 + -102 = -102 2x = -102 Divide each side by '2'. x = -51 Simplifying x = -51
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