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Simplifying 32 + 3x = 6(8 + -7x) + 2 32 + 3x = (8 * 6 + -7x * 6) + 2 32 + 3x = (48 + -42x) + 2 Reorder the terms: 32 + 3x = 48 + 2 + -42x Combine like terms: 48 + 2 = 50 32 + 3x = 50 + -42x Solving 32 + 3x = 50 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 32 + 3x + 42x = 50 + -42x + 42x Combine like terms: 3x + 42x = 45x 32 + 45x = 50 + -42x + 42x Combine like terms: -42x + 42x = 0 32 + 45x = 50 + 0 32 + 45x = 50 Add '-32' to each side of the equation. 32 + -32 + 45x = 50 + -32 Combine like terms: 32 + -32 = 0 0 + 45x = 50 + -32 45x = 50 + -32 Combine like terms: 50 + -32 = 18 45x = 18 Divide each side by '45'. x = 0.4 Simplifying x = 0.4
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