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Simplifying 12 = 27(8x + 54) Reorder the terms: 12 = 27(54 + 8x) 12 = (54 * 27 + 8x * 27) 12 = (1458 + 216x) Solving 12 = 1458 + 216x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-216x' to each side of the equation. 12 + -216x = 1458 + 216x + -216x Combine like terms: 216x + -216x = 0 12 + -216x = 1458 + 0 12 + -216x = 1458 Add '-12' to each side of the equation. 12 + -12 + -216x = 1458 + -12 Combine like terms: 12 + -12 = 0 0 + -216x = 1458 + -12 -216x = 1458 + -12 Combine like terms: 1458 + -12 = 1446 -216x = 1446 Divide each side by '-216'. x = -6.694444444 Simplifying x = -6.694444444
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