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Simplifying 47 + 5(x + 2) = 7x Reorder the terms: 47 + 5(2 + x) = 7x 47 + (2 * 5 + x * 5) = 7x 47 + (10 + 5x) = 7x Combine like terms: 47 + 10 = 57 57 + 5x = 7x Solving 57 + 5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 57 + 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x 57 + -2x = 7x + -7x Combine like terms: 7x + -7x = 0 57 + -2x = 0 Add '-57' to each side of the equation. 57 + -57 + -2x = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -2x = 0 + -57 -2x = 0 + -57 Combine like terms: 0 + -57 = -57 -2x = -57 Divide each side by '-2'. x = 28.5 Simplifying x = 28.5
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