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