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Simplifying -8(x + 2) + 3x + 5 = 8x + 12 Reorder the terms: -8(2 + x) + 3x + 5 = 8x + 12 (2 * -8 + x * -8) + 3x + 5 = 8x + 12 (-16 + -8x) + 3x + 5 = 8x + 12 Reorder the terms: -16 + 5 + -8x + 3x = 8x + 12 Combine like terms: -16 + 5 = -11 -11 + -8x + 3x = 8x + 12 Combine like terms: -8x + 3x = -5x -11 + -5x = 8x + 12 Reorder the terms: -11 + -5x = 12 + 8x Solving -11 + -5x = 12 + 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. -11 + -5x + -8x = 12 + 8x + -8x Combine like terms: -5x + -8x = -13x -11 + -13x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + -13x = 12 + 0 -11 + -13x = 12 Add '11' to each side of the equation. -11 + 11 + -13x = 12 + 11 Combine like terms: -11 + 11 = 0 0 + -13x = 12 + 11 -13x = 12 + 11 Combine like terms: 12 + 11 = 23 -13x = 23 Divide each side by '-13'. x = -1.769230769 Simplifying x = -1.769230769
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