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Simplifying 8(x + 4) = 6x + 46 Reorder the terms: 8(4 + x) = 6x + 46 (4 * 8 + x * 8) = 6x + 46 (32 + 8x) = 6x + 46 Reorder the terms: 32 + 8x = 46 + 6x Solving 32 + 8x = 46 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 32 + 8x + -6x = 46 + 6x + -6x Combine like terms: 8x + -6x = 2x 32 + 2x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + 2x = 46 + 0 32 + 2x = 46 Add '-32' to each side of the equation. 32 + -32 + 2x = 46 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 46 + -32 2x = 46 + -32 Combine like terms: 46 + -32 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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