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Simplifying 10(x + 5) = 6x + 46 Reorder the terms: 10(5 + x) = 6x + 46 (5 * 10 + x * 10) = 6x + 46 (50 + 10x) = 6x + 46 Reorder the terms: 50 + 10x = 46 + 6x Solving 50 + 10x = 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. 50 + 10x + -6x = 46 + 6x + -6x Combine like terms: 10x + -6x = 4x 50 + 4x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 50 + 4x = 46 + 0 50 + 4x = 46 Add '-50' to each side of the equation. 50 + -50 + 4x = 46 + -50 Combine like terms: 50 + -50 = 0 0 + 4x = 46 + -50 4x = 46 + -50 Combine like terms: 46 + -50 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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