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Simplifying 32 + 7x = 3(1 + 4x) + -6 32 + 7x = (1 * 3 + 4x * 3) + -6 32 + 7x = (3 + 12x) + -6 Reorder the terms: 32 + 7x = 3 + -6 + 12x Combine like terms: 3 + -6 = -3 32 + 7x = -3 + 12x Solving 32 + 7x = -3 + 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 + 7x + -12x = -3 + 12x + -12x Combine like terms: 7x + -12x = -5x 32 + -5x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 32 + -5x = -3 + 0 32 + -5x = -3 Add '-32' to each side of the equation. 32 + -32 + -5x = -3 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = -3 + -32 -5x = -3 + -32 Combine like terms: -3 + -32 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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