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Simplifying 1074 = 6(x + 16) Reorder the terms: 1074 = 6(16 + x) 1074 = (16 * 6 + x * 6) 1074 = (96 + 6x) Solving 1074 = 96 + 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 = 96 + 6x + -6x Combine like terms: 6x + -6x = 0 1074 + -6x = 96 + 0 1074 + -6x = 96 Add '-1074' to each side of the equation. 1074 + -1074 + -6x = 96 + -1074 Combine like terms: 1074 + -1074 = 0 0 + -6x = 96 + -1074 -6x = 96 + -1074 Combine like terms: 96 + -1074 = -978 -6x = -978 Divide each side by '-6'. x = 163 Simplifying x = 163
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