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Simplifying 3(x + -6) + 8 = 2(6x + 5) + -4x Reorder the terms: 3(-6 + x) + 8 = 2(6x + 5) + -4x (-6 * 3 + x * 3) + 8 = 2(6x + 5) + -4x (-18 + 3x) + 8 = 2(6x + 5) + -4x Reorder the terms: -18 + 8 + 3x = 2(6x + 5) + -4x Combine like terms: -18 + 8 = -10 -10 + 3x = 2(6x + 5) + -4x Reorder the terms: -10 + 3x = 2(5 + 6x) + -4x -10 + 3x = (5 * 2 + 6x * 2) + -4x -10 + 3x = (10 + 12x) + -4x Combine like terms: 12x + -4x = 8x -10 + 3x = 10 + 8x Solving -10 + 3x = 10 + 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 + 3x + -8x = 10 + 8x + -8x Combine like terms: 3x + -8x = -5x -10 + -5x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -5x = 10 + 0 -10 + -5x = 10 Add '10' to each side of the equation. -10 + 10 + -5x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 10 + 10 -5x = 10 + 10 Combine like terms: 10 + 10 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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