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Simplifying 1074 = 6(x + 18) Reorder the terms: 1074 = 6(18 + x) 1074 = (18 * 6 + x * 6) 1074 = (108 + 6x) Solving 1074 = 108 + 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. 1074 + -6x = 108 + 6x + -6x Combine like terms: 6x + -6x = 0 1074 + -6x = 108 + 0 1074 + -6x = 108 Add '-1074' to each side of the equation. 1074 + -1074 + -6x = 108 + -1074 Combine like terms: 1074 + -1074 = 0 0 + -6x = 108 + -1074 -6x = 108 + -1074 Combine like terms: 108 + -1074 = -966 -6x = -966 Divide each side by '-6'. x = 161 Simplifying x = 161
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