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Simplifying 7(2x + 5) = 10x + 47 Reorder the terms: 7(5 + 2x) = 10x + 47 (5 * 7 + 2x * 7) = 10x + 47 (35 + 14x) = 10x + 47 Reorder the terms: 35 + 14x = 47 + 10x Solving 35 + 14x = 47 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 35 + 14x + -10x = 47 + 10x + -10x Combine like terms: 14x + -10x = 4x 35 + 4x = 47 + 10x + -10x Combine like terms: 10x + -10x = 0 35 + 4x = 47 + 0 35 + 4x = 47 Add '-35' to each side of the equation. 35 + -35 + 4x = 47 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 47 + -35 4x = 47 + -35 Combine like terms: 47 + -35 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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