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Simplifying 10(x + 1) = 4(x + 4) Reorder the terms: 10(1 + x) = 4(x + 4) (1 * 10 + x * 10) = 4(x + 4) (10 + 10x) = 4(x + 4) Reorder the terms: 10 + 10x = 4(4 + x) 10 + 10x = (4 * 4 + x * 4) 10 + 10x = (16 + 4x) Solving 10 + 10x = 16 + 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. 10 + 10x + -4x = 16 + 4x + -4x Combine like terms: 10x + -4x = 6x 10 + 6x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 6x = 16 + 0 10 + 6x = 16 Add '-10' to each side of the equation. 10 + -10 + 6x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 16 + -10 6x = 16 + -10 Combine like terms: 16 + -10 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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