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Simplifying 3(2x + -8) + 20 = 6 + 2x Reorder the terms: 3(-8 + 2x) + 20 = 6 + 2x (-8 * 3 + 2x * 3) + 20 = 6 + 2x (-24 + 6x) + 20 = 6 + 2x Reorder the terms: -24 + 20 + 6x = 6 + 2x Combine like terms: -24 + 20 = -4 -4 + 6x = 6 + 2x Solving -4 + 6x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 6x + -2x = 6 + 2x + -2x Combine like terms: 6x + -2x = 4x -4 + 4x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 4x = 6 + 0 -4 + 4x = 6 Add '4' to each side of the equation. -4 + 4 + 4x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 6 + 4 4x = 6 + 4 Combine like terms: 6 + 4 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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