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Simplifying 4(x + 3) = 2k + -8x + -10 Reorder the terms: 4(3 + x) = 2k + -8x + -10 (3 * 4 + x * 4) = 2k + -8x + -10 (12 + 4x) = 2k + -8x + -10 Reorder the terms: 12 + 4x = -10 + 2k + -8x Solving 12 + 4x = -10 + 2k + -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. 12 + 4x + 8x = -10 + 2k + -8x + 8x Combine like terms: 4x + 8x = 12x 12 + 12x = -10 + 2k + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 12x = -10 + 2k + 0 12 + 12x = -10 + 2k Add '-12' to each side of the equation. 12 + -12 + 12x = -10 + -12 + 2k Combine like terms: 12 + -12 = 0 0 + 12x = -10 + -12 + 2k 12x = -10 + -12 + 2k Combine like terms: -10 + -12 = -22 12x = -22 + 2k Divide each side by '12'. x = -1.833333333 + 0.1666666667k Simplifying x = -1.833333333 + 0.1666666667k
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