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Simplifying 10(x + 5) = 4(x + 23) Reorder the terms: 10(5 + x) = 4(x + 23) (5 * 10 + x * 10) = 4(x + 23) (50 + 10x) = 4(x + 23) Reorder the terms: 50 + 10x = 4(23 + x) 50 + 10x = (23 * 4 + x * 4) 50 + 10x = (92 + 4x) Solving 50 + 10x = 92 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 50 + 10x + -4x = 92 + 4x + -4x Combine like terms: 10x + -4x = 6x 50 + 6x = 92 + 4x + -4x Combine like terms: 4x + -4x = 0 50 + 6x = 92 + 0 50 + 6x = 92 Add '-50' to each side of the equation. 50 + -50 + 6x = 92 + -50 Combine like terms: 50 + -50 = 0 0 + 6x = 92 + -50 6x = 92 + -50 Combine like terms: 92 + -50 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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