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Simplifying 12 = 5(x + 6) + -8x Reorder the terms: 12 = 5(6 + x) + -8x 12 = (6 * 5 + x * 5) + -8x 12 = (30 + 5x) + -8x Combine like terms: 5x + -8x = -3x 12 = 30 + -3x Solving 12 = 30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 3x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 3x = 30 + 0 12 + 3x = 30 Add '-12' to each side of the equation. 12 + -12 + 3x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 30 + -12 3x = 30 + -12 Combine like terms: 30 + -12 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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