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Simplifying 9x + 42 = 6(x + 9) Reorder the terms: 42 + 9x = 6(x + 9) Reorder the terms: 42 + 9x = 6(9 + x) 42 + 9x = (9 * 6 + x * 6) 42 + 9x = (54 + 6x) Solving 42 + 9x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + 9x + -6x = 54 + 6x + -6x Combine like terms: 9x + -6x = 3x 42 + 3x = 54 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + 3x = 54 + 0 42 + 3x = 54 Add '-42' to each side of the equation. 42 + -42 + 3x = 54 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 54 + -42 3x = 54 + -42 Combine like terms: 54 + -42 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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