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Simplifying 5(x + 10) = x + 6 Reorder the terms: 5(10 + x) = x + 6 (10 * 5 + x * 5) = x + 6 (50 + 5x) = x + 6 Reorder the terms: 50 + 5x = 6 + x Solving 50 + 5x = 6 + 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. 50 + 5x + -1x = 6 + x + -1x Combine like terms: 5x + -1x = 4x 50 + 4x = 6 + x + -1x Combine like terms: x + -1x = 0 50 + 4x = 6 + 0 50 + 4x = 6 Add '-50' to each side of the equation. 50 + -50 + 4x = 6 + -50 Combine like terms: 50 + -50 = 0 0 + 4x = 6 + -50 4x = 6 + -50 Combine like terms: 6 + -50 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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