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