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Simplifying -8(x + 2) + 3x + 6 = 8x + 12 Reorder the terms: -8(2 + x) + 3x + 6 = 8x + 12 (2 * -8 + x * -8) + 3x + 6 = 8x + 12 (-16 + -8x) + 3x + 6 = 8x + 12 Reorder the terms: -16 + 6 + -8x + 3x = 8x + 12 Combine like terms: -16 + 6 = -10 -10 + -8x + 3x = 8x + 12 Combine like terms: -8x + 3x = -5x -10 + -5x = 8x + 12 Reorder the terms: -10 + -5x = 12 + 8x Solving -10 + -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. -10 + -5x + -8x = 12 + 8x + -8x Combine like terms: -5x + -8x = -13x -10 + -13x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -13x = 12 + 0 -10 + -13x = 12 Add '10' to each side of the equation. -10 + 10 + -13x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -13x = 12 + 10 -13x = 12 + 10 Combine like terms: 12 + 10 = 22 -13x = 22 Divide each side by '-13'. x = -1.692307692 Simplifying x = -1.692307692
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