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Simplifying 12(x + -11) + -12 = 29x + -348 Reorder the terms: 12(-11 + x) + -12 = 29x + -348 (-11 * 12 + x * 12) + -12 = 29x + -348 (-132 + 12x) + -12 = 29x + -348 Reorder the terms: -132 + -12 + 12x = 29x + -348 Combine like terms: -132 + -12 = -144 -144 + 12x = 29x + -348 Reorder the terms: -144 + 12x = -348 + 29x Solving -144 + 12x = -348 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -144 + 12x + -29x = -348 + 29x + -29x Combine like terms: 12x + -29x = -17x -144 + -17x = -348 + 29x + -29x Combine like terms: 29x + -29x = 0 -144 + -17x = -348 + 0 -144 + -17x = -348 Add '144' to each side of the equation. -144 + 144 + -17x = -348 + 144 Combine like terms: -144 + 144 = 0 0 + -17x = -348 + 144 -17x = -348 + 144 Combine like terms: -348 + 144 = -204 -17x = -204 Divide each side by '-17'. x = 12 Simplifying x = 12
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