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Simplifying -7(x + 2) + 2x + 5 = 8x + 11 Reorder the terms: -7(2 + x) + 2x + 5 = 8x + 11 (2 * -7 + x * -7) + 2x + 5 = 8x + 11 (-14 + -7x) + 2x + 5 = 8x + 11 Reorder the terms: -14 + 5 + -7x + 2x = 8x + 11 Combine like terms: -14 + 5 = -9 -9 + -7x + 2x = 8x + 11 Combine like terms: -7x + 2x = -5x -9 + -5x = 8x + 11 Reorder the terms: -9 + -5x = 11 + 8x Solving -9 + -5x = 11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + -5x + -8x = 11 + 8x + -8x Combine like terms: -5x + -8x = -13x -9 + -13x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -13x = 11 + 0 -9 + -13x = 11 Add '9' to each side of the equation. -9 + 9 + -13x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -13x = 11 + 9 -13x = 11 + 9 Combine like terms: 11 + 9 = 20 -13x = 20 Divide each side by '-13'. x = -1.538461538 Simplifying x = -1.538461538
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