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Simplifying 32 + 7x = x + 8(4 + 6x) 32 + 7x = x + (4 * 8 + 6x * 8) 32 + 7x = x + (32 + 48x) Reorder the terms: 32 + 7x = 32 + x + 48x Combine like terms: x + 48x = 49x 32 + 7x = 32 + 49x Add '-32' to each side of the equation. 32 + -32 + 7x = 32 + -32 + 49x Combine like terms: 32 + -32 = 0 0 + 7x = 32 + -32 + 49x 7x = 32 + -32 + 49x Combine like terms: 32 + -32 = 0 7x = 0 + 49x 7x = 49x Solving 7x = 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 7x + -49x = 49x + -49x Combine like terms: 7x + -49x = -42x -42x = 49x + -49x Combine like terms: 49x + -49x = 0 -42x = 0 Divide each side by '-42'. x = 0 Simplifying x = 0
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