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Simplifying 47x + 256 = 52(x + 1) Reorder the terms: 256 + 47x = 52(x + 1) Reorder the terms: 256 + 47x = 52(1 + x) 256 + 47x = (1 * 52 + x * 52) 256 + 47x = (52 + 52x) Solving 256 + 47x = 52 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 256 + 47x + -52x = 52 + 52x + -52x Combine like terms: 47x + -52x = -5x 256 + -5x = 52 + 52x + -52x Combine like terms: 52x + -52x = 0 256 + -5x = 52 + 0 256 + -5x = 52 Add '-256' to each side of the equation. 256 + -256 + -5x = 52 + -256 Combine like terms: 256 + -256 = 0 0 + -5x = 52 + -256 -5x = 52 + -256 Combine like terms: 52 + -256 = -204 -5x = -204 Divide each side by '-5'. x = 40.8 Simplifying x = 40.8
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