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Simplifying -2(x + 8) + 5 = -11x + 2(1 + 4x) Reorder the terms: -2(8 + x) + 5 = -11x + 2(1 + 4x) (8 * -2 + x * -2) + 5 = -11x + 2(1 + 4x) (-16 + -2x) + 5 = -11x + 2(1 + 4x) Reorder the terms: -16 + 5 + -2x = -11x + 2(1 + 4x) Combine like terms: -16 + 5 = -11 -11 + -2x = -11x + 2(1 + 4x) -11 + -2x = -11x + (1 * 2 + 4x * 2) -11 + -2x = -11x + (2 + 8x) Reorder the terms: -11 + -2x = 2 + -11x + 8x Combine like terms: -11x + 8x = -3x -11 + -2x = 2 + -3x Solving -11 + -2x = 2 + -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. -11 + -2x + 3x = 2 + -3x + 3x Combine like terms: -2x + 3x = 1x -11 + 1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + 1x = 2 + 0 -11 + 1x = 2 Add '11' to each side of the equation. -11 + 11 + 1x = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 2 + 11 1x = 2 + 11 Combine like terms: 2 + 11 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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