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Simplifying 11(x + -12) + -3 = 29x + -243 Reorder the terms: 11(-12 + x) + -3 = 29x + -243 (-12 * 11 + x * 11) + -3 = 29x + -243 (-132 + 11x) + -3 = 29x + -243 Reorder the terms: -132 + -3 + 11x = 29x + -243 Combine like terms: -132 + -3 = -135 -135 + 11x = 29x + -243 Reorder the terms: -135 + 11x = -243 + 29x Solving -135 + 11x = -243 + 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. -135 + 11x + -29x = -243 + 29x + -29x Combine like terms: 11x + -29x = -18x -135 + -18x = -243 + 29x + -29x Combine like terms: 29x + -29x = 0 -135 + -18x = -243 + 0 -135 + -18x = -243 Add '135' to each side of the equation. -135 + 135 + -18x = -243 + 135 Combine like terms: -135 + 135 = 0 0 + -18x = -243 + 135 -18x = -243 + 135 Combine like terms: -243 + 135 = -108 -18x = -108 Divide each side by '-18'. x = 6 Simplifying x = 6
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