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Simplifying 18x + 216 = 18(x + 12) * 7 Reorder the terms: 216 + 18x = 18(x + 12) * 7 Reorder the terms: 216 + 18x = 18(12 + x) * 7 Reorder the terms for easier multiplication: 216 + 18x = 18 * 7(12 + x) Multiply 18 * 7 216 + 18x = 126(12 + x) 216 + 18x = (12 * 126 + x * 126) 216 + 18x = (1512 + 126x) Solving 216 + 18x = 1512 + 126x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126x' to each side of the equation. 216 + 18x + -126x = 1512 + 126x + -126x Combine like terms: 18x + -126x = -108x 216 + -108x = 1512 + 126x + -126x Combine like terms: 126x + -126x = 0 216 + -108x = 1512 + 0 216 + -108x = 1512 Add '-216' to each side of the equation. 216 + -216 + -108x = 1512 + -216 Combine like terms: 216 + -216 = 0 0 + -108x = 1512 + -216 -108x = 1512 + -216 Combine like terms: 1512 + -216 = 1296 -108x = 1296 Divide each side by '-108'. x = -12 Simplifying x = -12
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