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Simplifying 10(x + 1) = 4(x + 3) Reorder the terms: 10(1 + x) = 4(x + 3) (1 * 10 + x * 10) = 4(x + 3) (10 + 10x) = 4(x + 3) Reorder the terms: 10 + 10x = 4(3 + x) 10 + 10x = (3 * 4 + x * 4) 10 + 10x = (12 + 4x) Solving 10 + 10x = 12 + 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 = 12 + 4x + -4x Combine like terms: 10x + -4x = 6x 10 + 6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 6x = 12 + 0 10 + 6x = 12 Add '-10' to each side of the equation. 10 + -10 + 6x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 12 + -10 6x = 12 + -10 Combine like terms: 12 + -10 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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