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Simplifying 12 + 8x = 7(5x + -6) Reorder the terms: 12 + 8x = 7(-6 + 5x) 12 + 8x = (-6 * 7 + 5x * 7) 12 + 8x = (-42 + 35x) Solving 12 + 8x = -42 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 12 + 8x + -35x = -42 + 35x + -35x Combine like terms: 8x + -35x = -27x 12 + -27x = -42 + 35x + -35x Combine like terms: 35x + -35x = 0 12 + -27x = -42 + 0 12 + -27x = -42 Add '-12' to each side of the equation. 12 + -12 + -27x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -27x = -42 + -12 -27x = -42 + -12 Combine like terms: -42 + -12 = -54 -27x = -54 Divide each side by '-27'. x = 2 Simplifying x = 2
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