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Simplifying 11 + -1(6x + 1) = 5x + -2(x + 4) Reorder the terms: 11 + -1(1 + 6x) = 5x + -2(x + 4) 11 + (1 * -1 + 6x * -1) = 5x + -2(x + 4) 11 + (-1 + -6x) = 5x + -2(x + 4) Combine like terms: 11 + -1 = 10 10 + -6x = 5x + -2(x + 4) Reorder the terms: 10 + -6x = 5x + -2(4 + x) 10 + -6x = 5x + (4 * -2 + x * -2) 10 + -6x = 5x + (-8 + -2x) Reorder the terms: 10 + -6x = -8 + 5x + -2x Combine like terms: 5x + -2x = 3x 10 + -6x = -8 + 3x Solving 10 + -6x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -6x + -3x = -8 + 3x + -3x Combine like terms: -6x + -3x = -9x 10 + -9x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -9x = -8 + 0 10 + -9x = -8 Add '-10' to each side of the equation. 10 + -10 + -9x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -8 + -10 -9x = -8 + -10 Combine like terms: -8 + -10 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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