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Simplifying 12 + -3(4 + -5x) = 6x + -1(2x + 11) 12 + (4 * -3 + -5x * -3) = 6x + -1(2x + 11) 12 + (-12 + 15x) = 6x + -1(2x + 11) Combine like terms: 12 + -12 = 0 0 + 15x = 6x + -1(2x + 11) 15x = 6x + -1(2x + 11) Reorder the terms: 15x = 6x + -1(11 + 2x) 15x = 6x + (11 * -1 + 2x * -1) 15x = 6x + (-11 + -2x) Reorder the terms: 15x = -11 + 6x + -2x Combine like terms: 6x + -2x = 4x 15x = -11 + 4x Solving 15x = -11 + 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. 15x + -4x = -11 + 4x + -4x Combine like terms: 15x + -4x = 11x 11x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 11x = -11 + 0 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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