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Simplifying 11(x + -12) + -8 = 29x + -194 Reorder the terms: 11(-12 + x) + -8 = 29x + -194 (-12 * 11 + x * 11) + -8 = 29x + -194 (-132 + 11x) + -8 = 29x + -194 Reorder the terms: -132 + -8 + 11x = 29x + -194 Combine like terms: -132 + -8 = -140 -140 + 11x = 29x + -194 Reorder the terms: -140 + 11x = -194 + 29x Solving -140 + 11x = -194 + 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. -140 + 11x + -29x = -194 + 29x + -29x Combine like terms: 11x + -29x = -18x -140 + -18x = -194 + 29x + -29x Combine like terms: 29x + -29x = 0 -140 + -18x = -194 + 0 -140 + -18x = -194 Add '140' to each side of the equation. -140 + 140 + -18x = -194 + 140 Combine like terms: -140 + 140 = 0 0 + -18x = -194 + 140 -18x = -194 + 140 Combine like terms: -194 + 140 = -54 -18x = -54 Divide each side by '-18'. x = 3 Simplifying x = 3
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