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Simplifying 5(x + 6) = 46 + x Reorder the terms: 5(6 + x) = 46 + x (6 * 5 + x * 5) = 46 + x (30 + 5x) = 46 + x Solving 30 + 5x = 46 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 5x + -1x = 46 + x + -1x Combine like terms: 5x + -1x = 4x 30 + 4x = 46 + x + -1x Combine like terms: x + -1x = 0 30 + 4x = 46 + 0 30 + 4x = 46 Add '-30' to each side of the equation. 30 + -30 + 4x = 46 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 46 + -30 4x = 46 + -30 Combine like terms: 46 + -30 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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