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Simplifying 6x + 10 + -1(11x + -2) = 4x + -9 Reorder the terms: 6x + 10 + -1(-2 + 11x) = 4x + -9 6x + 10 + (-2 * -1 + 11x * -1) = 4x + -9 6x + 10 + (2 + -11x) = 4x + -9 Reorder the terms: 10 + 2 + 6x + -11x = 4x + -9 Combine like terms: 10 + 2 = 12 12 + 6x + -11x = 4x + -9 Combine like terms: 6x + -11x = -5x 12 + -5x = 4x + -9 Reorder the terms: 12 + -5x = -9 + 4x Solving 12 + -5x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -5x + -4x = -9 + 4x + -4x Combine like terms: -5x + -4x = -9x 12 + -9x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -9x = -9 + 0 12 + -9x = -9 Add '-12' to each side of the equation. 12 + -12 + -9x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -9 + -12 -9x = -9 + -12 Combine like terms: -9 + -12 = -21 -9x = -21 Divide each side by '-9'. x = 2.333333333 Simplifying x = 2.333333333
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