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Simplifying 3x + 47 = 5(x + 4) + 7 Reorder the terms: 47 + 3x = 5(x + 4) + 7 Reorder the terms: 47 + 3x = 5(4 + x) + 7 47 + 3x = (4 * 5 + x * 5) + 7 47 + 3x = (20 + 5x) + 7 Reorder the terms: 47 + 3x = 20 + 7 + 5x Combine like terms: 20 + 7 = 27 47 + 3x = 27 + 5x Solving 47 + 3x = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 47 + 3x + -5x = 27 + 5x + -5x Combine like terms: 3x + -5x = -2x 47 + -2x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 47 + -2x = 27 + 0 47 + -2x = 27 Add '-47' to each side of the equation. 47 + -47 + -2x = 27 + -47 Combine like terms: 47 + -47 = 0 0 + -2x = 27 + -47 -2x = 27 + -47 Combine like terms: 27 + -47 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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