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Simplifying 32 = 8(x + 7) + 4x Reorder the terms: 32 = 8(7 + x) + 4x 32 = (7 * 8 + x * 8) + 4x 32 = (56 + 8x) + 4x Combine like terms: 8x + 4x = 12x 32 = 56 + 12x Solving 32 = 56 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 32 + -12x = 56 + 12x + -12x Combine like terms: 12x + -12x = 0 32 + -12x = 56 + 0 32 + -12x = 56 Add '-32' to each side of the equation. 32 + -32 + -12x = 56 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = 56 + -32 -12x = 56 + -32 Combine like terms: 56 + -32 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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