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Simplifying 42 * 45 = 54(x + 4) Multiply 42 * 45 1890 = 54(x + 4) Reorder the terms: 1890 = 54(4 + x) 1890 = (4 * 54 + x * 54) 1890 = (216 + 54x) Solving 1890 = 216 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 1890 + -54x = 216 + 54x + -54x Combine like terms: 54x + -54x = 0 1890 + -54x = 216 + 0 1890 + -54x = 216 Add '-1890' to each side of the equation. 1890 + -1890 + -54x = 216 + -1890 Combine like terms: 1890 + -1890 = 0 0 + -54x = 216 + -1890 -54x = 216 + -1890 Combine like terms: 216 + -1890 = -1674 -54x = -1674 Divide each side by '-54'. x = 31 Simplifying x = 31
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